Relevant bibliographies by topics / Functional equation and inequality

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Functional equation and inequality'

Author: Grafiati
Published: 4 June 2021
Last updated: 7 February 2022

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Journal articles on the topic "Functional equation and inequality"

1

Adamek, Mirosław. "On two variable functional inequality and related functional equation." Mathematical Inequalities & Applications, no. 4 (2009): 799–804. http://dx.doi.org/10.7153/mia-12-63.

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Lee, Yang-Hi, and Gwang Kim. "Generalized Hyers–Ulam Stability of the Additive Functional Equation." Axioms 8, no. 2 (2019): 76. http://dx.doi.org/10.3390/axioms8020076.

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We will prove the generalized Hyers–Ulam stability and the hyperstability of the additive functional equation f(x1 + y1, x2 + y2, …, xn + yn) = f(x1, x2, … xn) + f(y1, y2, …, yn). By restricting the domain of a mapping f that satisfies the inequality condition used in the assumption part of the stability theorem, we partially generalize the results of the stability theorems of the additive function equations.
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Alsina, C., and J. L. Garcia-Roig. "On a functional equation related to the Ptolemaic inequality." Aequationes Mathematicae 34, no. 2-3 (1987): 298–303. http://dx.doi.org/10.1007/bf01830679.

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Ng, C. T. "On a functional equation related to income inequality measures." Aequationes Mathematicae 28, no. 1 (1985): 161–69. http://dx.doi.org/10.1007/bf02189408.

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Bingham, N. H., and A. J. Ostaszewski. "Cauchy’s functional equation and extensions: Goldie’s equation and inequality, the Gołąb–Schinzel equation and Beurling’s equation." Aequationes mathematicae 89, no. 5 (2015): 1293–310. http://dx.doi.org/10.1007/s00010-015-0350-6.

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Chung, Jae-Young. "On a Stability of Logarithmic-Type Functional Equation in Schwartz Distributions." Abstract and Applied Analysis 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/435310.

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We prove the Hyers-Ulam stability of the logarithmic functional equation of Heuvers and Kannappanf(x+y)-g(xy)-h(1/x+1/y)=0, x,y>0, in both classical and distributional senses. As a classical sense, the Hyers-Ulam stability of the inequality|f(x+y)-g(xy)-h(1/x+1/y)|≤ϵ, x,y>0will be proved, wheref,g,h:ℝ+→ℂ. As a distributional analogue of the above inequality, the stability of inequality∥u∘(x+y)-v∘(xy)-w∘(1/x+1/y)∥≤ϵwill be proved, whereu,v,w∈𝒟'(ℝ+)and∘denotes the pullback of distributions.
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Kamont, Zdzisław, and Adam Nadolski. "Functional Differential Inequalities with Unbounded Delay." gmj 12, no. 2 (2005): 237–54. http://dx.doi.org/10.1515/gmj.2005.237.

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Abstract We prove that a function of several variables satisfying a functional differential inequality with unbounded delay can be estimated by a solution of a suitable initial problem for an ordinary functional differential equation. As a consequence of the comparison theorem we obtain a Perron-type uniqueness result and a result on continuous dependence of solutions on given functions for partial functional differential equations with unbounded delay. We consider classical solutions on the Haar pyramid.
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Chung, Jaeyoung, Chang-Kwon Choi, and Jongjin Kim. "Ulam-Hyers Stability of Trigonometric Functional Equation with Involution." Journal of Function Spaces 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/742648.

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LetSandGbe a commutative semigroup and a commutative group, respectively,CandR+the sets of complex numbers and nonnegative real numbers, respectively, andσ:S→Sorσ:G→Gan involution. In this paper, we first investigate general solutions of the functional equationf(x+σy)=f(x)g(y)-g(x)f(y)for allx,y∈S, wheref,g:S→C. We then prove the Hyers-Ulam stability of the functional equation; that is, we study the functional inequality|f(x+σy)-f(x)g(y)+g(x)f(y)|≤ψ(y)for allx,y∈G, wheref,g:G→Candψ:G→R+.
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Kim, Hark-Mahn, and Yang-Hi Lee. "STABILITY OF FUNCTIONAL EQUATION AND INEQUALITY IN FUZZY NORMED SPACES." Journal of the Chungcheong Mathematical Society 26, no. 4 (2013): 707–21. http://dx.doi.org/10.14403/jcms.2013.26.4.707.

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Fechner, Włodzimierz. "Stability of a functional inequality associated with the Jordan – von Neumann functional equation." Aequationes mathematicae 71, no. 1-2 (2006): 149–61. http://dx.doi.org/10.1007/s00010-005-2775-9.

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Dissertations / Theses on the topic "Functional equation and inequality"

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Pinto, Manuel. "Des inegalites fonctionnelles et leurs applications." Université Louis Pasteur (Strasbourg) (1971-2008), 1988. http://www.theses.fr/1988STR13097.

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Etude du comportement asymptotique des solutions des equations differentielles non lineaires. Solution d'une inegalite du type de gronwall-bellman-bihari avec un nombre fini quelconque de non-linearites. Applications : recherche des solutions asymptotiques et asymptotiquement polynomiales, stabilite des h-systemes en variation soumise a des perturbations integrales; solutions bornees des equations differentielles dans un espace de banach et equilibre asymptotique. Version discrete et multivariable de l'inegalite fonctionnelle resolue
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Dvořáková, Stanislava. "The Qualitative and Numerical Analysis of Nonlinear Delay Differential Equations." Doctoral thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2011. http://www.nusl.cz/ntk/nusl-233952.

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Disertační práce formuluje asymptotické odhady řešení tzv. sublineárních a superlineárních diferenciálních rovnic se zpožděním. V těchto odhadech vystupuje řešení pomocných funkcionálních rovnic a nerovností. Dále práce pojednává o kvalitativních vlastnostech diferenčních rovnic se zpožděním, které vznikly diskretizací studovaných diferenciálních rovnic. Pozornost je věnována souvislostem asympotického chování řešení rovnic ve spojitém a diskrétním tvaru, a to v obecném i v konkrétních případech. Studována je rovněž stabilita numerické diskretizace vycházející z $\theta$-metody. Práce obsahuje
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Biesdorf, João. "Mínimos locais de funcionais com dependência especial via Γ convergência: com e sem vínculo." Universidade Federal de São Carlos, 2011. https://repositorio.ufscar.br/handle/ufscar/5822.

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Made available in DSpace on 2016-06-02T20:27:39Z (GMT). No. of bitstreams: 1 3744.pdf: 1323892 bytes, checksum: 71a7a7180d61db167b8cbec4db2bbe8b (MD5) Previous issue date: 2011-05-30<br>Universidade Federal de Sao Carlos<br>We address the question of existence of stationary stable solutions to a class of reaction-diffusion equations with spatial dependence in 2 and 3-dimensional bounded domains. The approach consists of proving the existence of local minimizer of the corres-ponding energy functional. For existence, it was enough to give sufficient conditions on the diffusion coefficient and
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Xie, Wenzheng. "A sharp inequality for Poisson's equation in arbitrary domains and its applications to Burgers' equation." Thesis, University of British Columbia, 1991. http://hdl.handle.net/2429/31859.

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Let Ω be an arbitrary open set in IR³. Let || • || denote the L²(Ω) norm, and let [formula omitted] denote the completion of [formula omitted] in the Dirichlet norm || ∇•||. The pointwise bound [forumula omitted] is established for all functions [formula omitted] with Δ u є L² (Ω). The constant [formula omitted] is shown to be the best possible. Previously, inequalities of this type were proven only for bounded smooth domains or convex domains, with constants depending on the regularity of the boundary. A new method is employed to obtain this sharp inequality. The key idea is to estimat
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Wang, Xinyu. "Sur la convergence sous-exponentielle de processus de Markov." Phd thesis, Université Blaise Pascal - Clermont-Ferrand II, 2012. http://tel.archives-ouvertes.fr/tel-00840858.

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Ma thèse de doctorat se concentre principalement sur le comportement en temps long des processus de Markov, les inégalités fonctionnelles et les techniques relatives. Plus spécifiquement, Je vais présenter les taux de convergence sous-exponentielle explicites des processus de Markov dans deux approches : la méthode Meyn-Tweedie et l'hypocoercivité (faible). Le document se divise en trois parties. Dans la première partie, Je vais présenter quelques résultats importants et des connaissances connexes. D'abord, un aperçu de mon domaine de recherche sera donné. La convergence exponentielle (ou sous
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Daquila, Richard. "Strongly annular solutions to Mahler's functional equation /." The Ohio State University, 1993. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487844948075255.

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Torres, Ledezma Sebastián Generoso. "Institutions, inequality and the impact of foreign aid : a simultaneous equation approach." Thesis, University of Leicester, 2007. http://hdl.handle.net/2381/30158.

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This study extends existing work on inequality, institutions and the impact of foreign aid by constructing and estimating different cross-country simultaneous equation models that identify bi-directional relationships between income inequality and several indicators of social and economic development. The first set of results for a model combining four endogenous variables (income, education, health and inequality) and estimated using the three-stage least-squares (3SLS) technique, show that lower inequality is associated with improvements in other development indicators, but this is the resul
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Laming, Gregory John. "Density functional theory for molecules." Thesis, University of Cambridge, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.336907.

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Acosta, Mesa Héctor Gabriel. "Functional anatomy of stereoscopic visual process assessed using functional magnetic resonance imaging and structural equation modelling." Thesis, University of Sheffield, 2003. http://etheses.whiterose.ac.uk/14748/.

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The purpose of this thesis is to study the functional anatomy of stereoscopic vision. Although many studies have investigated the physiological mechanisms by which the brain transforms the retinal disparities into three-dimensional representations, the invasive nature of the techniques available have restricted them to studies in non-human primates, whilst the research on humans has been limited to psychophysical studies. Modem non-invasive neuroimaging techniques now allow the investigation of the functional organisation of the human brain. Although PET and fMRI studies have been widely used,
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Michels, Tara Marie. "Towards a connection between linear embedding and the Poincaré functional equation." [Johnson City, Tenn. : East Tennessee State University], 2003.

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Thesis (M.S.)--East Tennessee State University, 2003.<br>Title from electronic submission form. ETSU ETD database URN: etd-1109103-132618. Includes bibliographical references. Also available via Internet at the UMI web site.
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Books on the topic "Functional equation and inequality"

1

An introduction to the theory of functional equations and inequalities : Cauchy's equation and Jensen's inequality. Państwowe Wydawn. Naukowe, 1985.

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Attila, Gilányi, ed. An introduction to the theory of functional equations and inequalities: Cauchy's equation and Jensen's inequality. 2nd ed. Birkäeuser, 2009.

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Kuczma, Marek. An introduction to the theory of functional equations and inequalities: Cauchy's equation and Jensen's inequality. 2nd ed. Birkäeuser, 2009.

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Kuczma, Marek. An introduction to the theory of functional equations and inequalities: Cauchy's equation and Jensen's inequality. 2nd ed. Birkäeuser, 2009.

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Ugo, Gianazza, Vespri Vincenzo, and SpringerLink (Online service), eds. Harnack's Inequality for Degenerate and Singular Parabolic Equations. Springer Science+Business Media, LLC, 2012.

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Berezin, F. A. The Schrödinger Equation. Springer Netherlands, 1991.

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Roussel, Marc R. Functional equation methods in steady-state enzyme kinetics. National Library of Canada, 1990.

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P, Wittwer, ed. Computer methods and Borel summability applied to Feigenbaum's equation. Springer-Verlag, 1985.

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1942-, Zhao Zhongxin, ed. From Brownian motion to Schrödinger's Equation. Springer-Verlag, 1995.

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Kamuntavichi͡us, G. P. P. Ob ėkvivalentnosti uravnenii͡a shredingera dli͡a atomnogo i͡adra prostomu different͡sialʹno-funkt͡sionalʹnomu uravnenii͡u. Akademii͡a nauk Litovskoĭ SSR, In-t fiziki, 1985.

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Book chapters on the topic "Functional equation and inequality"

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Yang, Bicheng, and Themistocles M. Rassias. "A Relation to Hilbert’s Integral Inequality and a Basic Hilbert-Type Inequality." In Functional Equations in Mathematical Analysis. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-0055-4_47.

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Schwerdtfeger, Hans. "Remark On an Inequality for Monotonic Functions." In Functional Equations and Inequalities. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11004-7_15.

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Choczewski, Bogdan. "Note on a Functional—Differential Inequality." In Functional Equations — Results and Advances. Springer US, 2002. http://dx.doi.org/10.1007/978-1-4757-5288-5_3.

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Yang, Bicheng. "On a Hilbert-Type Integral Inequality." In Functional Equations in Mathematical Analysis. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-0055-4_45.

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Yang, Bicheng. "An Extension of Hardy–Hilbert’s Inequality." In Functional Equations in Mathematical Analysis. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-0055-4_46.

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Becker, L. C., T. A. Burton, and S. Zhang. "Functional Differential Equations and Jensen’s Inequality." In Dynamics of Infinite Dimensional Systems. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-86458-2_4.

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Tamilvanan, S., E. Thandapani, and J. M. Rassias. "Hyers–Ulam Stability of First Order Differential Equation via Integral Inequality." In Frontiers in Functional Equations and Analytic Inequalities. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28950-8_9.

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Czerni, Marek. "Solutions of a Functional Inequality in a Special Class of Functions." In Functional Equations and Inequalities. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4341-7_4.

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Mićić, Jadranka, and Marjan Praljak. "Recent Research on Levinson’s Inequality." In Frontiers in Functional Equations and Analytic Inequalities. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28950-8_32.

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Czerni, Marek. "On Dependence of Lipschitzian Solutions of Nonlinear Functional Inequality on an Arbitrary Function." In Functional Equations and Inequalities. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4341-7_5.

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Conference papers on the topic "Functional equation and inequality"

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Mansimov, Kamil. "Necessary optimality conditions of the first and second orders in the problem of control of processes described by difference analogy of volterra equation under equality and inequality type functional constraints." In 2012 IV International Conference "Problems of Cybernetics and Informatics" (PCI). IEEE, 2012. http://dx.doi.org/10.1109/icpci.2012.6486436.

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Nakhaie-Jazar, Gholamreza, A. H. Naghshineh-Poor, and K. Ravanbakhsh. "Energy Optimal Control Algorithm Based on Central Difference Approximation of Equation of Motion With Application to Robot Control." In ASME 1992 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/cie1992-0131.

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Abstract Optimal control of robotic manipulator has a complex nature. Many different control and optimal control algorithms have been developed. However, these algorithms are either based on simplified equation of motion or are tedious to implement to set up. In this work the equations of motion are approximated by central difference technic and Taylor series expansion, while path of motion is divided in finite segments. The motion is assumed to have zero velocity at beginning and at the end of the motion, without loss of generality. The whole time and path of motion is arbitrary, but fixed, a
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WOJTECZEK, KATARZYNA. "CLASSES OF FUNCTIONS FULFILLING SECOND ORDER HARDY TYPE INTEGRAL INEQUALITIES ON THE EXAMPLE OF 'STANDARD' HARDY INEQUALITY." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0206.

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Banik, A. K., and T. K. Datta. "Stochastic Response and Stability Analysis of Two-Point Mooring System." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-49714.

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The stochastic response and stability of a two-point mooring system are investigated for random sea state represented by the P-M sea spectrum. The two point mooring system is modeled as a SDOF system having only stiffness nonlinearity; drag nonlinearity is represented by an equivalent linear damping. Since no parametric excitation exists and only the linear damping is assumed to be present in the system, only a local stability analysis is sufficient for the system. This is performed using a perturbation technique and the Infante’s method. The analysis requires the mean square response of the s
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Berezhnoi, Eugenii I., Victoria V. Kocherova, and Alexei A. Perfilyev. "Notes for Trudinger–Moser inequality." In INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000608.

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Sadybekov, Makhmud, and Aidyn Kassymov. "An isoperimetric inequality for heat potential and heat equation." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4959643.

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Zhou Zhongcheng. "Lyapunov inequality for linear elliptic equation, an optimal control approach." In 2008 Chinese Control Conference (CCC). IEEE, 2008. http://dx.doi.org/10.1109/chicc.2008.4605828.

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Luo, D., Y. Liu, C. Wang, and X. Tan. "An Observability Inequality On A Kind of Linear Parabolic Equation." In 2017 International Seminar on Artificial Intelligence, Networking and Information Technology (ANIT 2017). Atlantis Press, 2018. http://dx.doi.org/10.2991/anit-17.2018.25.

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Kalybay, Aigerim, and Danagul Karatayeva. "An extended discrete weighted Hardy inequality in the difference form." In INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000611.

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Tarulli, Mirko, and George Venkov. "A functional inequality associated to a Gagliardo-Nirenberg type quotient." In PROCEEDINGS OF THE 43RD INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS: (AMEE’17). Author(s), 2017. http://dx.doi.org/10.1063/1.5013981.

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Reports on the topic "Functional equation and inequality"

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Lau, K. S., and H. M. Gu. A Note on an Integrated Cauchy Functional Equation. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada160339.

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Mitoma, Itaru. Weak Solution of the Langevin Equation on a Generalized Functional Space,. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada194290.

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Root, Seth, John H. Carpenter, Kyle Robert Cochrane, and Thomas Kjell Rene Mattsson. Equation of state of CO2 : experiments on Z, density functional theory (DFT) simulations, and tabular models. Office of Scientific and Technical Information (OSTI), 2012. http://dx.doi.org/10.2172/1055894.

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Carpenter, John H., Seth Root, Kyle Robert Cochrane, Dawn G. Flicker, and Thomas Kjell Rene Mattsson. Equation of state of argon : experiments on Z, density functional theory (DFT) simulations, and wide-range model. Office of Scientific and Technical Information (OSTI), 2012. http://dx.doi.org/10.2172/1055655.

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Williams, Todd O. FUNCTIONAL ANALYSIS OF THE LIPPMANN-SCHWINGER EQUATION FOR THE DETERMINATION OF THE POINTWISE MECHANICAL AND TRANSFORMATION FIELD CONCENTRATION TENSORS IN HETEROGENEOUS MATERIALS. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1063253.

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