Relevant bibliographies by topics / Linear Ordinary Differential Equations in Banach Spaces

Contents

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

Academic literature on the topic 'Linear Ordinary Differential Equations in Banach Spaces'

Author: Grafiati
Published: 4 June 2021
Last updated: 18 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Linear Ordinary Differential Equations in Banach Spaces.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Linear Ordinary Differential Equations in Banach Spaces"

1

Mursaleen, M., and Syed Rizvi. "Existence results for second order linear differential equations in Banach spaces." Applicable Analysis and Discrete Mathematics 12, no. 2 (2018): 481–92. http://dx.doi.org/10.2298/aadm160902015m.

Full text
Abstract:
In this paper we are concerned with the existence of solutions for certain classes of second order differential equations. First we deal with an infinite system of second order linear differential equations, which is reduced to an ordinary differential equation posed in the space of convergent sequences. Next we investigate the problem of existence for a second order differential equation posed on an arbitrary Banach space. The used approach is based on the measures of noncompactness concept, the use of Darbo's fixed point theorem and Kamke comparison functions.
APA, Harvard, Vancouver, ISO, and other styles
2

Providas, Efthimios, Stefanos Zaoutsos, and Ioannis Faraslis. "Closed-Form Solutions of Linear Ordinary Differential Equations with General Boundary Conditions." Axioms 10, no. 3 (September 14, 2021): 226. http://dx.doi.org/10.3390/axioms10030226.

Full text
Abstract:
This paper deals with the solution of boundary value problems for ordinary differential equations with general boundary conditions. We obtain closed-form solutions in a symbolic form of problems with the general n-th order differential operator, as well as the composition of linear operators. The method is based on the theory of the extensions of linear operators in Banach spaces.
APA, Harvard, Vancouver, ISO, and other styles
3

Basit, Bolis, and Chuanyi Zhang. "New Almost Periodic Type Functions and Solutions of Differential Equations." Canadian Journal of Mathematics 48, no. 6 (December 1, 1996): 1138–53. http://dx.doi.org/10.4153/cjm-1996-059-9.

Full text
Abstract:
AbstractLet X be a Banach space and . Let Π and Π0 be two subspaces of , the Banach space of bounded continuous functions from 𝕁 to X. We seek conditions under which Π + Π0 is closed in . This led to introduce a general space, which contains many classes of almost periodic type functions as subspaces. We prove some recent results on indefinite integral for the elements of these classes. We apply certain results on harmonic analysis to investigate solutions of differential equations. As an application we study specific spaces: the spaces of asymptotic and pseudo almost automorphic functions and their solutions of some ordinary quasi-linear and a non-linear parabolic partial differential equations.
APA, Harvard, Vancouver, ISO, and other styles
4

Kudryavtsev, L. D. "Stabilization of Functions and its Application." gmj 1, no. 2 (April 1994): 183–95. http://dx.doi.org/10.1515/gmj.1994.183.

Full text
Abstract:
Abstract The concepts of polynomial stabilization, strong polynomial stabilization, and strong stabilization are introduced for a fundamental system of solutions of linear differential equations. Some criteria of such kinds of stabilizations and applications to the theory of existence and uniqueness of solutions of ordinary differential equations are given. An abstract scheme of the obtained results is presented for Banach spaces.
APA, Harvard, Vancouver, ISO, and other styles
5

Potter, A. J. B. "Approximation methods and the generalised Fuller index for semi-flows in Banach spaces." Proceedings of the Edinburgh Mathematical Society 29, no. 3 (October 1986): 299–308. http://dx.doi.org/10.1017/s0013091500017740.

Full text
Abstract:
In [3] Fuller introduced an index (now called the Fuller index) in order to study periodic solutions of ordinary differential equations. The objective of this paper is to give a simple generalisation of the Fuller index which can be used to study periodic points of flows in Banach spaces. We do not claim any significant breakthrough but merely suggest that the simplistic approach, presented here, might prove useful for the study of non-linear differential equations. We show our results can be used to study functional differential equations.
APA, Harvard, Vancouver, ISO, and other styles
6

Bai, Meng, and Shihe Xu. "Global existence of solutions for a nonlinear size-structured population model with distributed delay in the recruitment." International Journal of Mathematics 26, no. 10 (September 2015): 1550085. http://dx.doi.org/10.1142/s0129167x15500858.

Full text
Abstract:
In this paper, we study a nonlinear size-structured population model with distributed delay in the recruitment. The delayed problem is reduced into an abstract initial value problem of an ordinary differential equation in a Banach space by using the semigroup techniques. The local existence and uniqueness of solution as well as the continuous dependence on initial conditions are obtained by using the general theory of quasi-linear evolution equations in Banach spaces, while the global existence of solution is obtained by the estimates of the solution and the extension theorem.
APA, Harvard, Vancouver, ISO, and other styles
7

Grobbelaar-Van Dalsen, Maríe, and Niko Sauer. "Dynamic boundary conditions for the Navier–Stokes equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 113, no. 1-2 (1989): 1–11. http://dx.doi.org/10.1017/s030821050002391x.

Full text
Abstract:
SynopsisWhen a symmetric rigid body performs a rotation in a fluid, the system of governing equations consists of conservation of linear momentum of the fluid and conservation of angular momentum of the rigid body. Since the torque at the interface involves the drag due to the fluid flow, the conservation of angular momentum may be viewed as a boundary condition for the field equations of fluid motion. These equations at the boundary contain a time derivative and thus are of a dynamic nature. The familiar no-slip condition becomes an additional equation in the system which not only governs the fluid motion, but also the motion of the rigid body. The unknown functions in the system of equations are the velocity and pressure fields of the fluid motion and the angular velocity of the rigid body.In this paper we formulate the physical problem for the case of rotation about an axis of symmetry as an abstract ordinary differential equation in two Banach spaces in which the velocity field is the only unknown. To achieve this, a method for the elimination of the pressure field, which also occurs in the boundary condition, is developed. Existence and uniqueness results for the abstract equation are derived with the aid of the theory of B-evolutions and the associated theory of fractional powers of a closed pair of operators.
APA, Harvard, Vancouver, ISO, and other styles
8

Hájek, Petr, and Paola Vivi. "Some problems on ordinary differential equations in Banach spaces." Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas 104, no. 2 (September 2010): 245–55. http://dx.doi.org/10.5052/racsam.2010.16.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

O'Regan, D. "Weak solutions of ordinary differential equations in Banach spaces." Applied Mathematics Letters 12, no. 1 (January 1999): 101–5. http://dx.doi.org/10.1016/s0893-9659(98)00133-5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Redheffer, Ray, and Wolfgang Walter. "Remarks on ordinary differential equations in ordered Banach spaces." Monatshefte f�r Mathematik 102, no. 3 (September 1986): 237–49. http://dx.doi.org/10.1007/bf01294602.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Linear Ordinary Differential Equations in Banach Spaces"

1

Albasrawi, Fatimah Hassan. "Floquet Theory on Banach Space." TopSCHOLAR®, 2013. http://digitalcommons.wku.edu/theses/1234.

Full text
Abstract:
In this thesis we study Floquet theory on a Banach space. We are concerned about the linear differential equation of the form: y'(t) = A(t)y(t), where t ∈ R, y(t) is a function with values in a Banach space X, and A(t) are linear, bounded operators on X. If the system is periodic, meaning A(t+ω) = A(t) for some period ω, then it is called a Floquet system. We will investigate the existence and uniqueness of the periodic solution, as well as the stability of a Floquet system. This thesis will be presented in five main chapters. In the first chapter, we review the system of linear differential equations on Rn: y'= A(t)y(t) + f(t), where A(t) is an n x n matrix-valued function, y(t) are vectors and f(t) are functions with values in Rn. We establish the general form of the all solutions by using the fundamental matrix, consisting of n independent solutions. Also, we can find the stability of solutions directly by using the eigenvalues of A. In the second chapter, we study the Floquet system on Rn, where A(t+ω) = A(t). We establish the Floquet theorem, in which we show that the Floquet system is closely related to a linear system with constant coefficients, so the properties of those systems can be applied. In particular, we can answer the questions about the stability of the Floquet system. Then we generalize the Floquet theory to a linear system on Banach spaces. So we introduce to the readers Banach spaces in chapter three and the linear operators on Banach spaces in chapter four. In the fifth chapter we study the asymptotic properties of solutions of the system: y'(t) = A(t)y(t), where y(t) is a function with values in a Banach space X and A(t) are linear, bounded operators on X with A (t+ω) = A(t). For that system, we can show the evolution family U(t,s) representing the solutions is periodic, i.e. U(t+ω, s+ω) = U(t,s). Next we study the monodromy of the system V := U(ω,0). We point out that the spectrum set of V actually determines the stability of the Floquet system. Moreover, we show that the existence and uniqueness of the periodic solution of the nonhomogeneous equation in a Floquet system is equivalent to the fact that 1 belongs to the resolvent set of V.
APA, Harvard, Vancouver, ISO, and other styles
2

Lee, Wha-Suck. "An algebraic - analytic framework for the study of intertwined families of evolution operators." Thesis, 2015. http://hdl.handle.net/2263/43532.

Full text
Abstract:
We introduce a new framework of generalized operators to handle vector valued distributions, intertwined evolution operators of B-evolution equations and Fokker Planck type evolution equations. Generalized operators capture these operators. The framework is a marriage between vector valued distribution theory and abstract harmonic analysis: a new convolution algebra is the offspring. The new algebra shows that convolution is more fundamental than operator composition. The framework is complete with a Hille-Yosida theorem for implicit evolution equations for generalized operators. Feller semigroups and processes fit perfectly into the framework of generalized operators. Feller semigroups are intertwined by the Chapman Kolmogorov equation. Our framework handles more complex intertwinements which naturally arise from a dynamic boundary approach to an absorbing barrier of a fly trap model: we construct an entwined pseudo Poisson process which is a pair of stochastic processes entwined by the extended Chapman Kolmogorov equation. Similarly, we introduce the idea of an entwined Brownian motion. We show that the diffusion equation of an entwined Brownian motion involves an implicit evolution equation on a suitable scalar test space. We end off by constructing a new convolution of operator valued measures which generalizes the convolution of Feller convolution semigroups.
Thesis (PhD)--University of Pretoria, 2015.
Mathematics and Applied Mathematics
Unrestricted
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Linear Ordinary Differential Equations in Banach Spaces"

1

Second order linear differential equations in Banach spaces. Amsterdam: North-Holland, 1985.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

Łojczyk-Królikiewicz, Irena. Ordinary differential-functional and functional inequalities in linear spaces and their applications. Kraków: Wydawn. PK, 2005.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Simon, Barry. Operator theory. Providence, Rhode Island: American Mathematical Society, 2015.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Orlik, Lyubov', and Galina Zhukova. Operator equation and related questions of stability of differential equations. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1061676.

Full text
Abstract:
The monograph is devoted to the application of methods of functional analysis to the problems of qualitative theory of differential equations. Describes an algorithm to bring the differential boundary value problem to an operator equation. The research of solutions to operator equations of special kind in the spaces polutoratonny with a cone, where the limitations of the elements of these spaces is understood as the comparability them with a fixed scale element of exponential type. Found representations of the solutions of operator equations in the form of contour integrals, theorems of existence and uniqueness of such solutions. The spectral criteria for boundedness of solutions of operator equations and, as a consequence, sufficient spectral features boundedness of solutions of differential and differential-difference equations in Banach space. The results obtained for operator equations with operators and work of Volterra operators, allowed to extend to some systems of partial differential equations known spectral stability criteria for solutions of A. M. Lyapunov and also to generalize theorems on the exponential characteristic. The results of the monograph may be useful in the study of linear mechanical and electrical systems, in problems of diffraction of electromagnetic waves, theory of automatic control, etc. It is intended for researchers, graduate students functional analysis and its applications to operator and differential equations.
APA, Harvard, Vancouver, ISO, and other styles
5

Spectral analysis, differential equations, and mathematical physics: A festschrift in honor of Fritz Gesztesy's 60th birthday. Providence, Rhode Island: American Mathematical Society, 2013.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Second Order Linear Differential Equations in Banach Spaces. Elsevier, 1985. http://dx.doi.org/10.1016/s0304-0208(08)x7157-9.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Introduction to Quantum Graphs (Mathematical Surveys and Monographs). American Mathematical Society, 2012.

Find full text
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Linear Ordinary Differential Equations in Banach Spaces"

1

Pata, Vittorino. "Ordinary Differential Equations in Banach Spaces." In UNITEXT, 85–95. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-19670-7_16.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Dragan, Vasile, Toader Morozan, and Adrian-Mihail Stoica. "Linear Differential Equations with Positive Evolution on Ordered Banach Spaces." In Mathematical Methods in Robust Control of Linear Stochastic Systems, 39–120. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8663-3_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

"Ordinary Differential Equations." In Banach–Hilbert Spaces, Vector Measures and Group Representations, 223–44. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777232_0012.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

"Fractional Ordinary Differential Equations in Banach Spaces." In Basic Theory of Fractional Differential Equations, 81–107. WORLD SCIENTIFIC, 2014. http://dx.doi.org/10.1142/9789814579902_0003.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

"Fractional Ordinary Differential Equations in Banach Spaces." In Basic Theory of Fractional Differential Equations, 87–113. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789813148178_0003.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

"Linear Operators in Banach Spaces." In Applied Functional Analysis and Partial Differential Equations, 1–45. WORLD SCIENTIFIC, 1998. http://dx.doi.org/10.1142/9789812796233_0001.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Acquistapace, Paolo. "Abstract Linear Nonautonous Parabolic Equations: A Survey." In differential equations in Banach spaces, 1–19. CRC Press, 2020. http://dx.doi.org/10.1201/9781003072102-1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Prüss, Jan. "Stability of Linear Evolutionary Systems with Applications to Viscoelasticity." In differential equations in Banach spaces, 195–214. CRC Press, 2020. http://dx.doi.org/10.1201/9781003072102-15.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Favini, Angelo, and Hiroki Tanabe. "Linear Parabolic Differential Equations of Higher Order in Time." In differential equations in Banach spaces, 85–92. CRC Press, 2020. http://dx.doi.org/10.1201/9781003072102-8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

CHALJUB-SIMON, ALICE, and PETER VOLKMANN. "ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES WITH VARIABLE ORDER CONES." In Recent Trends in Differential Equations, 63–70. WORLD SCIENTIFIC, 1992. http://dx.doi.org/10.1142/9789812798893_0005.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Linear Ordinary Differential Equations in Banach Spaces"

1

Vrabie, Ioan I. "A viability result for a class of ordinary differential equations in Banach spaces." In MATHEMATICAL ANALYSIS AND APPLICATIONS: International Conference on Mathematical Analysis and Applications. AIP, 2006. http://dx.doi.org/10.1063/1.2205044.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Liu Lixin. "Exponential stability of quasi-linear non-autonomous differential equations in Banach spaces." In 2008 Chinese Control Conference (CCC). IEEE, 2008. http://dx.doi.org/10.1109/chicc.2008.4605484.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Linear Ordinary Differential Equations in Banach Spaces' for particular source types:
Journal articles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography