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Journal articles on the topic 'Differential function'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Labovskiy, S. M. "ON POSITIVITY OF THE GREEN FUNCTION FOR POISSON PROBLEM FOR A LINEAR FUNCTIONAL DIFFERENTIAL EQUATION." Tambov University Reports. Series: Natural and Technical Sciences 22, no. 6-1 (2017): 1229–34. http://dx.doi.org/10.20310/1810-0198-2017-22-6-1229-1234.

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Cañadas-Pinedo, M. A., and C. Ruiz. "Sternberg's structure function of differential systems in dimension five." Czechoslovak Mathematical Journal 43, no. 3 (1993): 429–38. http://dx.doi.org/10.21136/cmj.1993.128423.

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3

Cui, Ting, Chenhui Jin, and Guoshuang Zhang. "Observations of Skipjack-like Structure with SP/SPS Round Function." JUCS - Journal of Universal Computer Science 19, no. (16) (2013): 2453–71. https://doi.org/10.3217/jucs-019-16-2453.

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Impossible differential cryptanalysis is an important tool for evaluating the security level of a block cipher, and the key step of this cryptanalysis is to find the longest impossible differential. This paper focuses on retrieving impossible differentials for m-cell Skipjack-like structure with SP/SPS round function (named SkipjackSP and SkipjackSPS resp.). Up to now, known longest impossible differentials in m-cell Skipjack-like structures is m2 rounds. In this paper, we provide some new m2 rounds impossible differentials for these two structures. Further, we prove that if P layer is chosen

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4

Al-Mayyahi, Suad Y., and Kassim A. Jassim. "Present study on fourth order differential subordination associated with differential operator." Journal of Interdisciplinary Mathematics 28, no. 3-B (2025): 1097–108. https://doi.org/10.47974/jim-2086.

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Univalent functions represent a crucial area in complicated analysis applicable to both single and many variables. Researchers have performed a traditional analysis of this subject since at least 1907. Geometric function theory is synthesis for geometry & analysis. Various research has examined first-order differential subordination, subsequently leading to inquiries into second-order differential subordination within the unit disc. Abdulhalim and Miller [3] presented third-order differential subordination by reinterpreting essential inequalities of realvalued function inside framework ofo

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5

KRIEG, Jaroslav. "VISUALIZATION OF DIFFERENTIAL FUNCTION." Trends in Education 9, no. 1 (2016): 175–80. http://dx.doi.org/10.5507/tvv.2016.023.

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6

Aldawish, Ibtisam, Mohamed Jleli, and Bessem Samet. "On Hermite–Hadamard-Type Inequalities for Functions Satisfying Second-Order Differential Inequalities." Axioms 12, no. 5 (2023): 443. http://dx.doi.org/10.3390/axioms12050443.

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Hermite–Hadamard inequality is a double inequality that provides an upper and lower bounds of the mean (integral) of a convex function over a certain interval. Moreover, the convexity of a function can be characterized by each of the two sides of this inequality. On the other hand, it is well known that a twice differentiable function is convex, if and only if it admits a nonnegative second-order derivative. In this paper, we obtain a characterization of a class of twice differentiable functions (including the class of convex functions) satisfying second-order differential inequalities. Some s

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7

Tabuguia, Bertrand Teguia. "Operations for D-Algebraic Functions." ACM Communications in Computer Algebra 57, no. 2 (2023): 51–56. http://dx.doi.org/10.1145/3614408.3614415.

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A function is differentially algebraic (or simply D-algebraic) if there is a polynomial relationship between some of its derivatives and the indeterminate variable. Many functions in the sciences, such as Mathieu functions, the Weierstrass elliptic functions, and holonomic or D-finite functions are D-algebraic. These functions form a field, and are closed under composition, taking functional inverse, and derivation. We present implementation for each underlying operation. We also give a systematic way for computing an algebraic differential equation from a linear differential equation with D-f

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Abdulnabi, Faten Fakher, Hiba F. Al-Janaby, Firas Ghanim, and Alina Alb Lupaș. "Some Results on Third-Order Differential Subordination and Differential Superordination for Analytic Functions Using a Fractional Differential Operator." Mathematics 11, no. 18 (2023): 4021. http://dx.doi.org/10.3390/math11184021.

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In this study, we explore the implications of a third-order differential subordination in the context of analytic functions associated with fractional differential operators. Our investigation involves the consideration of specific admissible classes of third-order differential functions. We also extend this exploration to establish a dual principle, resulting in a sandwich-type outcome. We introduce these admissible function classes by employing the fractional derivative operator DzαSN,Sϑz and derive conditions on the normalized analytic function f that lead to sandwich-type subordination in

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9

Pasunoori, Srinivasulu, and Srinivas V. "On Univalent Functions with Negative Coefficients Defined by Mittag-Leffler Function." Online Mathematics Journal 03, no. 02 (2021): 09–15. https://doi.org/10.5281/zenodo.4743395.

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In this paper, we present and carefully examine a new subclass of analytic functions characterized by a differential operator. Moreover, we derive coefficient estimates, extreme points, starlikeness, and radii of close-to-convexity for the aforementioned class. Furthermore, we investigate the integral means inequalities thereof.

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10

Ali, Ekram E., Georgia Irina Oros, Rabha M. El-Ashwah, Abeer M. Albalahi, and Marwa Ennaceur. "Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function." Mathematics 12, no. 23 (2024): 3721. http://dx.doi.org/10.3390/math12233721.

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The notion of the fuzzy set was incorporated into geometric function theory in recent years, leading to the emergence of fuzzy differential subordination theory, which is a generalization of the classical differential subordination notion. This article employs a new integral operator introduced using the class of meromorphic functions, the notion of convolution, and the Hurwitz–Lerch Zeta function for obtaining new fuzzy differential subordination results. Furthermore, the best fuzzy dominants are provided for each of the fuzzy differential subordinations investigated. The results presented en

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11

Solomashkin, A. A. "Differential integral functions." Sel'skohozjajstvennaja tehnika: obsluzhivanie i remont (Agricultural Machinery: Service and Repair), no. 12 (December 1, 2021): 63–71. http://dx.doi.org/10.33920/sel-10-2112-07.

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The definition of differential integral functions based on Laplace transformations and the definition of differential integrals, as well as their representation on graphs and in the text, is given. An example of approximation of a function using differential integral functions is given.

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12

Boudjema, Souhila, and Abdelkader Bouadi. "Bounded solutions for semilinear differential equations." STUDIES IN ENGINEERING AND EXACT SCIENCES 5, no. 1 (2024): 2921–31. http://dx.doi.org/10.54021/seesv5n1-146.

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A pseudo almost periodic function is the sum of an almost periodic function and of an ergotic perturbation. An asymptotically a.p. (almost periodic) function is the sum of an almost periodic function and another zero at infinity. The asymptotically a.a. (almost automorphic) and pseudo almost automorphic functions generalized the one of asymptotically a.p and pseudo a.p functions. In this paper, we study the existence of asymptotically a.p., asymptotically a.a., pseudo a.p., and pseudo a.a. mild solutions for a class of semilinear differential equations with a second term which is each time of

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13

Oros, Georgia Irina, and Gheorghe Oros. "Differential Subordinations for Nonanalytic Functions." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/251265.

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In the paper by Mocanu (1980), Mocanu has obtained sufficient conditions for a function in the classesC1(U), respectively, andC2(U)to be univalent and to mapUonto a domain which is starlike (with respect to origin), respectively, and convex. Those conditions are similar to those in the analytic case. In the paper by Mocanu (1981), Mocanu has obtained sufficient conditions of univalency for complex functions in the classC1which are also similar to those in the analytic case. Having those papers as inspiration, we try to introduce the notion of subordination for nonanalytic functions of classesC

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14

Its, A. R., A. G. Izergin, V. E. Korepin, and N. A. Slavnov. "DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS." International Journal of Modern Physics B 04, no. 05 (1990): 1003–37. http://dx.doi.org/10.1142/s0217979290000504.

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The quantum nonlinear Schrödinger equation (one dimensional Bose gas) is considered. Classification of representations of Yangians with highest weight vector permits us to represent correlation function as a determinant of a Fredholm integral operator. This integral operator can be treated as the Gelfand-Levitan operator for some new differential equation. These differential equations are written down in the paper. They generalize the fifth Painlève transcendent, which describe equal time, zero temperature correlation function of an impenetrable Bose gas. These differential equations drive the

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15

Çetinkaya, Asena, and Luminita-Ioana Cotîrlă. "Briot–Bouquet Differential Subordinations for Analytic Functions Involving the Struve Function." Fractal and Fractional 6, no. 10 (2022): 540. http://dx.doi.org/10.3390/fractalfract6100540.

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We define a new class of exponential starlike functions constructed by a linear operator involving normalized form of the generalized Struve function. Making use of a technique of differential subordination introduced by Miller and Mocanu, we investigate several new results related to the Briot–Bouquet differential subordinations for the linear operator involving the normalized form of the generalized Struve function. We also obtain univalent solutions to the Briot–Bouquet differential equations and observe that these solutions are the best possible solutions to the Briot–Bouquet differential

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16

Pacharapokin, Chanapat, Hiroshi Yamazaki, Yasunari Shidama, and Yatsuka Nakamura. "Complex Function Differentiability." Formalized Mathematics 17, no. 2 (2009): 67–72. http://dx.doi.org/10.2478/v10037-009-0007-9.

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Complex Function Differentiability For a complex valued function defined on its domain in complex numbers the differentiability in a single point and on a subset of the domain is presented. The main elements of differential calculus are developed. The algebraic properties of differential complex functions are shown.

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17

Zhuk, Anastasia I., and Helena N. Zashchuk. "On associated solutions of the system of non-autonomous differential equations in the Lebesgue spaces." Journal of the Belarusian State University. Mathematics and Informatics, no. 1 (April 14, 2022): 6–13. http://dx.doi.org/10.33581/2520-6508-2022-1-6-13.

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Herein, we investigate systems of non-autonomous differential equations with generalised coefficients using the algebra of new generalised functions. We consider a system of non-autonomous differential equations with generalised coefficients as a system of equations in differentials in the algebra of new generalised functions. The solution of such a system is a new generalised function. It is shown that the different interpretations of the solutions of the given systems can be described by a unique approach of the algebra of new generalised functions. In this paper, for the first time in the l

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18

Bello, G., and D. O. Akpootu. "A COMPREHENSIVE APPROACH TO EVALUATING SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS USING LAPLACE TRANSFORM." Matrix Science Mathematic 7, no. 2 (2023): 95–102. http://dx.doi.org/10.26480/msmk.02.2023.95.102.

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This paper employed the use of Laplace transform to obtain solutions of differential equations of the first and second order with given boundary conditions, also the study investigated the pattern of variation exhibited graphically by the various solutions of differential equations at x = 0 to 12. The results in this study revealed that the solutions obtained usually contain exponential functions, while the differential equations with sine and cosine functions has solution that contains exponential and sine function. Furthermore, the differential equations with cosine function has solution tha

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19

Anand, Swati, V. Ravichandran, and Sushil Kumar. "Differential subordination for Janowski functions with positive real part." Studia Universitatis Babes-Bolyai Matematica 66, no. 3 (2021): 457–70. http://dx.doi.org/10.24193/subbmath.2021.3.04.

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"Theory of differential subordination provides techniques to reduce differential subordination problems into verifying some simple algebraic condition called admissibility condition.We exploit the first order differential subordination theory to get several sufficient conditions for function satisfying several differential subordinations to be a Janowski function with positive real part. As applications, we obtain suffcient conditions for normalized analytic functions to be Janowski starlike functions."

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20

Albrecht, Daniel S., Palmer J. MacKie, David A. Kareken, et al. "Differential dopamine function in fibromyalgia." Brain Imaging and Behavior 10, no. 3 (2015): 829–39. http://dx.doi.org/10.1007/s11682-015-9459-4.

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21

Morikawa, Hisasi. "On differential polynomials, II." Nagoya Mathematical Journal 148 (December 1997): 73–112. http://dx.doi.org/10.1017/s0027763000006449.

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AbstractIn Part II, we shall be concerned with applications of classical invariant theory, to statistic physics and to theta functions. Main theorem in Chapter 2 is stated as follows:For a partition functionsatisfying γl ≥ 0 (l ≥ 1) and α > 0, the 2n-apolar of ξ(s)has the expansionsuch that βn,1 ≥ 0 (l ≥ 2). This means, for a given partition function ξ(s) with nonnegative relative probabilities, we construct a sequence of partition functions A2n (ξ(s), ξ(s))n≥1 with the same properties, which may be considered a sequence of symbolical higher derivative of ξ(s). The main theorem in Chapter 3

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22

Naz, Adiba, Sumit Nagpal, and V. Ravichandran. "Geometric Properties of Generalized Bessel Function Associated with the Exponential Function." Mathematica Slovaca 73, no. 6 (2023): 1459–78. http://dx.doi.org/10.1515/ms-2023-0106.

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ABSTRACT Sufficient conditions are determined on the parameters such that the generalized and normalized Bessel function of the first kind, which is an elementary transform of the hypergeometric function and other related functions belong to subclasses of starlike and convex functions defined in the unit disk associated with the exponential mapping. Several differential subordination implications are derived for analytic functions involving Bessel function and the operator introduced by Baricz et al. [Differential subordinations involving generalized Bessel functions, Bull. Malays. Math. Sci.

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23

Sharma, Meghna, Sushil Kumar, and Naveen Kumar Jain. "Differential subordination implications for certain Carathéodory functions." Studia Universitatis Babes-Bolyai Matematica 68, no. 4 (2023): 775–87. http://dx.doi.org/10.24193/subbmath.2023.4.07.

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"In this article, we wish to establish some first order differential subordination relations for certain Carathéodory functions with nice geometrical properties. Moreover, several implications are determined so that the normalized analytic function belongs to various subclasses of starlike functions. Keywords: Differential subordination, Carathéodory function, starlike functions, sufficient conditions."

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24

Mandal, Santosh, Madan Mohan Soren, Kadhavoor R. Karthikeyan, and Dharmaraj Mohankumar. "Application of the Fourth-Order Differential Subordination and Superordination Results for Analytic Functions Associated With an Operator." International Journal of Analysis and Applications 23 (July 16, 2025): 164. https://doi.org/10.28924/2291-8639-23-2025-164.

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This study focuses on differential subordination using arithmetic and geometric approaches when the dominant function is linear. In addition to the results of differential subordination of arithmetic and geometric means in which a convex function was dominant, one can study such differential subordination for a selected convex function. We investigate several results of the differential subordinations of analytic functions are associated with an operator built using arithmetic and geometric means.

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25

Nishioka, Keiji. "Differential algebraic function fields depending rationally on arbitrary constants." Nagoya Mathematical Journal 113 (March 1989): 173–79. http://dx.doi.org/10.1017/s0027763000001331.

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The general solution of an algebraic differential equation depends on the initial conditions, though it is in general too difficult to make explicit the shape of the relationship. Painlevé studied in [8] algebraic differentia] equations of second order with the general solutions depending rationally on the initial conditions and the solvability of such equations. Giving the precise definition of the notion “rational dependence on the initial conditions”, Umemura [10] revived and generalized rigorously the discussion of Painlevé in the language of modern algebraic geometry. The theorem of Umemu

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26

Zhang, Jilong. "Meromorphic Functions Sharing a Small Function with their Differential Polynomials." Kyungpook mathematical journal 50, no. 3 (2010): 345–55. http://dx.doi.org/10.5666/kmj.2010.50.3.345.

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27

Philos, CH G. "Oscillation Criteria For Second Order Superlinear Differential Equations." Canadian Journal of Mathematics 41, no. 2 (1989): 321–40. http://dx.doi.org/10.4153/cjm-1989-016-3.

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This paper is concerned with the question of oscillation of the solutions of second order superlinear ordinary differential equations with alternating coefficients.Consider the second order nonlinear ordinary differential equationwhere a is a continuous function on the interval [t0, ∞), t0 > 0, and / is a continuous function on the real line R, which is continuously differentia t e , except possibly at 0, and satisfies.

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28

Toma, Ghiocel. "Specific Differential Equations for Generating Pulse Sequences." Mathematical Problems in Engineering 2010 (2010): 1–11. http://dx.doi.org/10.1155/2010/324818.

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This study presents nonlinear differential equations capable to generate continuous functions similar to pulse sequences. First are studied some basic properties of second-order differential equations with time-dependent coefficients generating bounded oscillating functions similar to test-functions (the function and its derivative being equal to zero at the same time moments). The necessary intercorrelations between the phase of generated oscillations and the time-dependent coefficients is presented, being shown also that the external command function should be set to a constant value at thes

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29

Nedeljkov, Marko, and Michael Oberguggenberger. "Ordinary differential equations with delta function terms." Publications de l'Institut Math?matique (Belgrade) 91, no. 105 (2012): 125–35. http://dx.doi.org/10.2298/pim1205125n.

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This article is devoted to nonlinear ordinary differential equations with additive or multiplicative terms consisting of Dirac delta functions or derivatives thereof. Regularizing the delta function terms produces a family of smooth solutions. Conditions on the nonlinear terms, relating to the order of the derivatives of the delta function part, are established so that the regularized solutions converge to a limiting distribution.

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30

Fleming, W. H., and M. Nisio. "Differential games for stochastic partial differential equations." Nagoya Mathematical Journal 131 (September 1993): 75–107. http://dx.doi.org/10.1017/s0027763000004554.

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In this paper we are concerned with zero-sum two-player finite horizon games for stochastic partial differential equations (SPDE in short). The main aim is to formulate the principle of dynamic programming for the upper (or lower) value function and investigate the relationship between upper (or lower) value function and viscocity solution of min-max (or max-min) equation on Hilbert space.

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31

Attiya, Adel A., Tamer M. Seoudy, and Abdelhamid Albaid. "Third-Order Differential Subordination for Meromorphic Functions Associated with Generalized Mittag-Leffler Function." Fractal and Fractional 7, no. 2 (2023): 175. http://dx.doi.org/10.3390/fractalfract7020175.

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Using the results of third-order differential subordination, we introduce certain families of admissible functions and discuss some applications of third-order differential subordination for meromorphic functions associated with a linear operator containing a generalized Mittag-Leffler function.

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32

Borzov, Nikita S., Tatiana V. Zhukovskaia, and Irina D. Serova. "Ordinary differential equations and differential equations with delay: general properties and features." Russian Universities Reports. Mathematics, no. 142 (2023): 137–54. http://dx.doi.org/10.20310/2686-9667-2023-28-142-137-154.

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We consider the differential equation with delay x ̇(t)=f(t,x(h(t) ) ), t≥0, x(s)=φ(s), s<0, with respect to an unknown function x absolutely continuous on every finite interval. It is assumed that the function f:R_+×R→R is superpositionally measurable, the functions φ:(-∞,0)→R, h:R_+→R are measurable, and h(t)≤t for a. e. t≥0. If the more burdensome inequality h(t)≤t-τ holds for some τ>0, then the Cauchy problem for this equation is uniquely solvable and any solution can be extended to the semiaxis R_+. At the same time, the Cauchy problem for the corresponding differential equation x ̇

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33

Kalanov, Temur Z. "Differential Calculus: a gross error in mathematics ∗." Bulletin of Pure & Applied Sciences- Mathematics and Statistics 42, no. 2 (2023): 109–21. http://dx.doi.org/10.48165/bpas.2023.42e.2.2.

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A detailed proof of the incorrectness of the foundations of the differential calculus is proposed. The correct methodological basis for the proof is the unity of formal logic and rational dialectics. The proof leads to the following irrefutable statement: differential calculus represents a gross error in mathematics and physics. The proof of this statement is based on the following irrefutable results: (1) the standard theory of infinitesimals and the theory of limits underlying the differential calculus are gross errors. The main error is that infinitesimal (infinitely decreasing) quantities

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34

AGHELI, BAHRAM. "Approximate Solution of Bratu Differential Equations Using Trigonometric Basic Functions." Kragujevac Journal of Mathematics 45, no. 02 (2021): 203–14. http://dx.doi.org/10.46793/kgjmat2102.203a.

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In this paper, I have proposed a method for ﬁnding an approximate function for Bratu diﬀerential equations (BDEs), in which trigonometric basic functions are used. First, by deﬁning trigonometric basic functions, I deﬁne the values of the transformation function in relation to trigonometric basis functions (TBFs). Following that, the approximate function is deﬁned as a linear combination of trigonometric base functions and values of transform function which is named trigonometric transform method (TTM), and the convergence of the method is also presented. To get an approximate solution functio

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35

Elhaddad, Suhila, and Maslina Darus. "On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function." Symmetry 11, no. 2 (2019): 210. http://dx.doi.org/10.3390/sym11020210.

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This study defines a new linear differential operator via the Hadamard product between a q-hypergeometric function and Mittag–Leffler function. The application of the linear differential operator generates a new subclass of meromorphic function. Additionally, the study explores various properties and features, such as convex properties, distortion, growth, coefficient inequality and radii of starlikeness. Finally, the work discusses closure theorems and extreme points.

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36

Chatterjee-Kishore, Moitreyee, and Maryann Z. Whitley. "From differential gene expression to differential gene function and back." Drug Discovery Today: Technologies 1, no. 2 (2004): 149–56. http://dx.doi.org/10.1016/j.ddtec.2004.09.005.

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37

Yang, Qiang, Chaoyi Li, and Yaoru Liu. "Time-Independent Plasticity Formulated by Inelastic Differential of Free Energy Function." Journal of Non-Equilibrium Thermodynamics 46, no. 3 (2021): 221–34. http://dx.doi.org/10.1515/jnet-2020-0076.

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Abstract The authors presented a time-independent plasticity approach, where a typical plastic-loading process is viewed as an infinitesimal state change of two neighboring equilibrium states, and the yield and consistency conditions are formulated based on the conjugate forces of the internal variables. In this paper, a stability condition is proposed, and the yield, consistency, and stability conditions are reformatted by the inelastic differential form of the Gibbs free energy. The Gibbs equation in thermodynamics with internal variables is a representation to the differential form of the G

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38

Kumar, Sushil, Daniel Breaz, Luminita-Ioana Cotîrlă, and Asena Çetinkaya. "Hankel Determinants of Normalized Analytic Functions Associated with Hyperbolic Secant Function." Symmetry 16, no. 10 (2024): 1303. http://dx.doi.org/10.3390/sym16101303.

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In this paper, we consider a subclass of normalized analytic functions associated with the hyperbolic secant function. We compute the sharp bounds on third- and fourth-order Hermitian–Toeplitz determinants for functions in this class. Moreover, we determine the bounds on second- and third-order Hankel determinants, as well as on the generalized Zalcman conjecture. We examine a Briot–Bouquet-type differential subordination involving the Bernardi integral operator. Finally, we obtain a univalent solution to the Briot–Bouquet differential equation, and discuss the majorization property for such f

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39

Maghenem, Mohamed, Alessandro Melis, and Ricardo G. Sanfelice. "Necessary and sufficient conditions for the nonincrease of scalar functions along solutions to constrained differential inclusions." ESAIM: Control, Optimisation and Calculus of Variations 28 (2022): 13. http://dx.doi.org/10.1051/cocv/2022008.

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In this paper, we propose necessary and sufficient conditions for a scalar function to be nonincreasing along solutions to general differential inclusions with state constraints. The problem of determining if a function is nonincreasing appears in the study of stability and safety, typically using Lyapunov and barrier functions, respectively. The results in this paper present infinitesimal conditions that do not require any knowledge about the solutions to the system. Results under different regularity properties of the considered scalar function are provided. This includes when the scalar fun

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40

Koceić-Bilan, Nikola, and Snježana Braić. "Generalized Approach to Differentiability." Mathematics 10, no. 17 (2022): 3085. http://dx.doi.org/10.3390/math10173085.

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In the traditional approach to differentiability, found in almost all university textbooks, this notion is considered only for interior points of the domain of function or for functions with an open domain. This approach leads to the fact that differentiability has usually been considered only for functions with an open domain in Rn, which severely limits the possibility of applying the potential techniques and tools of differential calculus to a broader class of functions. Although there is a great need for generalization of the notion of differentiability of a function in various problems of

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41

Megahed, Abd El-Monem. "A differential Game Related to Terrorism: Stackelberg Differential Game of E-differentiable and E-convex Function." European Journal of Pure and Applied Mathematics 12, no. 2 (2019): 654–67. http://dx.doi.org/10.29020/nybg.ejpam.v12i2.3375.

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In this work, the Stackelberg differential game of $E$-differentiable and $E$ convex function is studied in order to fight the terrorism taking into account the government's procedures such as education quality, better job opportunity, social justice, religious awareness and security arrangements. We consider Stackelberg differential game. Firstly, the government is the leader and the terrorist organization is the follower. Secondly, the terrorist organization is the leader and the government is a follower. Furthermore, we apply the necessary conditions of the Stackelberg differential game for

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42

Volinsky, Irina. "A New Approach for Stabilization Criteria of n-Order Function Differential Equation by Distributed Control Function." Symmetry 15, no. 4 (2023): 912. http://dx.doi.org/10.3390/sym15040912.

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In the current paper, we demonstrate a new approach for an stabilization criteria for n-order functional-differential equation with distributed feedback control in the integral form. We present a correlation between the order of the functional-differential equation and degree of freedom of the distributed control function. We present two cases of distributed control function in the integral form. Such a case of stabilization control functions plays a very important role in physics, aeronautics, aerospace, ship navigation and traffic network control management. Structure of functional-different

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Ali, Ekram E., Rabha M. El-Ashwah, Abeer M. Albalahi, and Rabab Sidaoui. "Fuzzy Treatment for Meromorphic Classes of Admissible Functions Connected to Hurwitz–Lerch Zeta Function." Axioms 14, no. 7 (2025): 523. https://doi.org/10.3390/axioms14070523.

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Fuzzy differential subordinations, a notion taken from fuzzy set theory and used in complex analysis, are the subject of this paper. In this work, we provide an operator and examine the characteristics of meromorphic functions in the punctured open unit disk that are related to a class of complex parameter operators. Complex analysis ideas from geometric function theory are used to derive fuzzy differential subordination conclusions. Due to the compositional structure of the operator, some pertinent classes of admissible functions are studied through the application of fuzzy differential subor

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Oros, Georgia Irina, Gheorghe Oros, and Lavinia Florina Preluca. "Third-Order Differential Subordinations Using Fractional Integral of Gaussian Hypergeometric Function." Axioms 12, no. 2 (2023): 133. http://dx.doi.org/10.3390/axioms12020133.

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Sanford S. Miller and Petru T. Mocanu’s theory of second-order differential subordinations was extended for the case of third-order differential subordinations by José A. Antonino and Sanford S. Miller in 2011. In this paper, new results are proved regarding third-order differential subordinations that extend the ones involving the classical second-order differential subordination theory. A method for finding a dominant of a third-order differential subordination is provided when the behavior of the function is not known on the boundary of the unit disc. Additionally, a new method for obtainin

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S.S., Jadhav. "Study The Class of Univalent Functions In View of Ratios for Partial Sums and Derivatives." 'Journal of Research & Development' 15, no. 16 (2023): 24–28. https://doi.org/10.5281/zenodo.8361967.

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This paper is concern with the new class ,) of schlicht functions. We studied the real parts for different ratios of the functions in the class,). The sharp lower bounds for Re { }, Re { }, Re{  }, Re{  } is obtained.

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Kumar, Sudhir, and Jyotindra C. Prajapati. "Functions of bounded fractional differential variation: A new Banach algebra." Annals of the Alexandru Ioan Cuza University - Mathematics 71, no. 2 (2025): 103. https://doi.org/10.47743/anstim.2025.00008.

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Prajapati and Kachhia [10] introduced the concept of functions of bounded fractional differential variation and proposed an open problem whether the class of functions of bounded fractional differential variation on a closed bounded interval is a Banach algebra. We have given a solution to this problem. For a sequence of functions, we have discussed a condition for the convergence of sequence of Caputo fractional derivatives to the Caputo fractional derivative of the limit function. We have proved an additive property of the total fractional differential variation with respect to closed interv

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Antonino, José A., and Sanford S. Miller. "Systems of Simultaneous Differential Inclusions Implying Function Containment." Mathematics 9, no. 11 (2021): 1252. http://dx.doi.org/10.3390/math9111252.

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An important problem in complex analysis is to determine properties of the image of an analytic function p defined on the unit disc U from an inclusion or containment relation involving several of the derivatives of p. Results dealing with differential inclusions have led to the development of the field of Differential Subordinations, while results dealing with differential containments have led to the development of the field of Differential Superordinations. In this article, the authors consider a mixed problem consisting of special differential inclusions implying a corresponding containmen

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Guo, Peng, and Nai Xiang Li. "FCM Optimized with Differential Evolution for Image Segmentation." Applied Mechanics and Materials 380-384 (August 2013): 3566–69. http://dx.doi.org/10.4028/www.scientific.net/amm.380-384.3566.

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We propose an image segmentation approach with FCM optimized by Differential Evolution (DE) algorithm, a weighed summary validity function with some popular FCM validity functions is presented to form the fitness function of DE, we check our approach with some validity functions and compare experimental results between FCM and our method, comparisons show high performance of our approach.

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MARCOV, Nicolae. "Analytical solutions of a particular Hill's differential system." INCAS BULLETIN 11, no. 1 (2019): 121–29. http://dx.doi.org/10.13111/2066-8201.2019.11.1.9.

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Consider a second order differential linear periodic equation. This equation is recast as a first-order homogeneous Hill’s system. For this system we obtain analytical solutions in explicit form. The first solution is a periodic function. The second solution is a sum of two functions; the first is a continuous periodic function, but the second is an oscillating function with monotone linear increasing amplitude. We give a formula to directly compute the slope of this increase, without knowing the second numerical solution. The periodic term of second solution may be computed directly. The coef

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Kaur, Hardeep, Richa Brar, and Sukhwinder Singh Billing. "Certain theorems involving differential superordination and sandwich-type results." Studia Universitatis Babes-Bolyai Matematica 69, no. 3 (2024): 535–52. http://dx.doi.org/10.24193/subbmath.2024.3.05.

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Abstract. To obtain the main result of the present paper, we use the technique of differential superordination. As special cases of our main result, we obtain sufficient conditions for f ∈ A to be φ−like, parabolic φ−like, starlike, parabolic starlike, close-to-convex and uniform close-to-convex. We also obtain sandwich-type results regarding these functions. For demonstration of the results, we have plotted the images of open unit disk under certain functions using Mathematica 7.0. Mathematics Subject Classification (2010): 30C80, 30C45. Keywords: Analytic function, differential superordinati

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