Bounded and almost periodic solutions of nonlinear operator differential equations

by A. A. Pankov

Publisher: Kluwer Academic Publishers in Dordrecht, Boston

Written in English
Published: Pages: 220 Downloads: 875
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  • Operator equations -- Numerical solutions.,
  • Differential equations, Nonlinear -- Numerical solutions.

Edition Notes

Statementby A.A. Pankov ; [translated from the Russian by V.S. Zajackovski and A.A. Pankov].
SeriesMathematics and its applications (Soviet series) ;, v. 55, Mathematics and its applications (Kluwer Academic Publishers)., 55.
LC ClassificationsQA329.4 .P3613 1990
The Physical Object
Paginationx, 220 p. ;
Number of Pages220
ID Numbers
Open LibraryOL2219465M
ISBN 10079230585X
LC Control Number89048125

Ordinary and Partial Differential Equations Proceedings of the Eighth Conference held at Dundee, Scotland, June , Richard J. (Eds.) Free Preview. Buy this book eB99 € price for Spain (gross) Buy eBook A stability result for the solutions of a certain system of third-order differential equations. Abstract. Let be a bounded domain in a real Euclidean space. We consider the equation, where and are matrix-valued functions and is a nonlinear mapping. Conditions for the exponential stability of the steady state are established. Our approach is based on a norm estimate for operator : Michael Gil.   This book is the first of two volumes which contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28–June 1, , at the University of Perugia in honor of Patrizia Pucci's 60th birthday. Periodic solutions of Lagrangian difference systems: Periodic nonlinearities (almost). The question of the existence of periodic, almost periodic solutions of evolution equations has been intensively studied. In the literature, several books are devoted to the almost periodic solu-tions for differential equations and dynamical system. For example, let us indicate the books of.

Program of the Seminar on Nonlinear Operators and Differential Equations. o Conf. dr. Adriana Buică. o Bifurcation from a degenerate cycle in periodic 2-dimensional systems. o Joi 12 martie ora sala e _____ Membrii seminarului: Prof. dr. . The Schauder fixed point theorem is an extension of the Brouwer fixed point theorem to topological vector spaces, which may be of infinite asserts that if is a nonempty convex closed subset of a Hausdorff topological vector space and is a continuous mapping of into itself such that () is contained in a compact subset of, then has a fixed point. Liang S and Zhang J () Existence of three positive solutions of m-point boundary value problems for some nonlinear fractional differential equations on an infinite interval, Computers & Mathematics with Applications, , (), Online publication date: 1-Jun The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems,. is an exceptional and complete reference for scientists and engineers as it contains over 7, ordinary differential equations with solutions.. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic.

Weyl-almost periodic solutions and asymptotically Weyl-almost periodic solutions of abstract Volterra integro-differential equations Kostić, Marko, Banach Journal of Mathematical Analysis, Almost automorphic solutions of semilinear stochastic hyperbolic differential equations in intermediate space Xia, Zhinan, Kodai Mathematical Journal, Cited by: 2. Next, we show existence of square-mean almost periodic solutions to equations of this type using Krasnoselskii's Fixed Point Theorem. Presentation is based on paper "Existence of square-mean almost periodic solutions to some stochastic hyperbolic differential equations with infinite delay" by P. Bezandry and T. Diagana. Bounded and Almost Periodic Solvability of Boundary Value Problems for Nonautonomous Quasilinear Hyperbolic Systems. 34 pages (), submitted. , , and nko. Classical Bounded and Almost Periodic Solutions to Quasilinear First-Order Hyperbolic Systems in . Diagana, Toka: Almost Periodic Solutions For Some Higher-Order Nonautonomous Differential Equations with Operator Coefficients. Mathematical and Computer Modelling. (in press). June, Diagana, Toka: Pseudo Almost Periodic Solutions for Some Classes of Nonautonomous Partial Evolution Equations. Journal of the Franklin Institute. (in press).

Bounded and almost periodic solutions of nonlinear operator differential equations by A. A. Pankov Download PDF EPUB FB2

Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations. Authors (view affiliations) A. Pankov Search within book. Front Matter. Pages i-x. PDF. Introduction. Pankov A. Pankov. Pages Bounded and almost periodic solutions of certain evolution equations.

Pankov. Pages Problems. Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations. Authors: Pankov, A.A. Free Preview. Buy Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations (Mathematics and its Applications) on FREE SHIPPING on qualified ordersCited by: Bounded and almost periodic solutions of nonlinear operator differential equations.

Dordrecht ; Boston: Kluwer Academic Publishers, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: A A Pankov. Get this from a library. Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations.

[A A Pankov] -- ~Et moi si j'avait su comment en revenir. One service mathematics has rendered the je n'y serais poin t aUe. human race. It has put common sense back Jules Verne where it belongs, on the topmost.

Cite this chapter as: Pankov A.A. () Bounded and almost periodic solutions of certain evolution equations. In: Bounded and Almost Periodic Author: A.

Pankov. This book discusses as well nonlinear hyperbolic equations in further contributions, featuring stability properties of periodic and almost periodic solutions.

The reader is also introduced to the stability problem of the equilibrium of a chemical network. We study almost periodic solutions for a class of nonlinear second-order differential equations involving reflection of the argument. We establish existence results of almost periodic solutions as.

In this Dissertation, the existence of pseudo almost periodic solutions to some systems of nonlinear hyperbolic second-order partial differential equations is established. In this paper we study the existence of almost periodic solutions for linear retarded functional differential equations with finite delay and values in a Banach space.

We relate the existence of almost periodic solutions with the stabilization of distributed control systems. We apply our results to transport models and to the wave by: 2.

Existence of weighted pseudo-almost periodic solutions. This section is devoted to the search of a weighted pseudo-almost periodic solution to the partial hyperbolic differential equation. Definition Let α ∈ (0, 1). A bounded continuous function u: R Cited by: Approaches to estimate the number of almost periodic solutions of ordinary differential equations are considered.

Conditions that allow determination for both upper and lower bounds for these solutions are found. The existence and stability of almost periodic problems are studied.

The novelty of this paper lies in the fact that the use of apparatus derivatives allows for the Cited by: 1. Discrete almost automorphic functions, a class of functions which are more general than discrete almost periodic ones, were recently introduced in [17, Definition ] in connection with the study of (continuous) almost automorphic bounded mild solutions of differential equations.

See also [18, 19]. However, the concept of discrete almost Cited by:   To the best of our knowledge, there are few results about pseudo almost periodic solutions for iterative functional differential equations except, and. In the present work, we propose an existence result for pseudo almost periodic solutions of Eq by using Tikhonov fixed theorem.

Uniqueness of the solution is achieved by Banach fixed point Cited by: 1. 1 Introduction In this paper, we consider the existence and topological structure of integral solution set of the periodic boundary value problem for fully nonlinear differential equations with finite delay, in the form.

Asymptotically Almost Periodic Solutions of Operator Equations 27 Comparability of Motions by the Character of Recurrence 27 Comparability in Limit of Asymptotically Poisson Stable Motions 30 Asymptotically Poisson Stable Solutions 31 Asymptotically Periodic Solutions 36 Homoclinic and Heteroclinic Motions 37 It is well-known that there are many subjects in physics and technology using mathematical methods that depend on the linear and nonlinear integro-differential equations, and it became clear that the existence of the periodic solutions and its algorithm structure from more important problems in the present by: 7.

@article{osti_, title = {The study of nonlinear almost periodic differential equations without recourse to the H-classes of these equations}, author = {Slyusarchuk, V.

E., E-mail: [email protected], E-mail: [email protected]}, abstractNote = {The well-known theorems of Favard and Amerio on the existence of almost periodic solutions to.

1. Introduction and Preliminaries Almost periodic and asymptotically almost periodic solutions of differential equations in Banach spaces have been considered by many authors so far (for the basic information on the subject, we.

In this paper, the existence and uniqueness of the square-mean almost periodic solutions to a class of the semilinear stochastic equations is studied. In particular, the condition of the uniform exponential stability of the linear operator is essentially removed, only using the exponential dichotomy of the linear by: 3.

AbstractUnder certain assumptions, we prove the existence of homoclinic solutions for almost periodic second order Hamiltonian systems in the strongly indefinite case. The proof relies on a careful analysis of the energy functional restricted to the generalized Nehari manifold, and the existence and fine properties of special Palais–Smale : Alexander Pankov.

[45] A. PANKOV, Bounded and almost periodic solutions of nonlinear operator differential equations, Mathematics and its Applications (Soviet Series), vol. 55, Kluwer Academic Publishers, Dordrecht,Translated from the Russian edition, MR This banner text can have markup.

web; books; video; audio; software; images; Toggle navigation. [1] E. Ait Dads, P. Cieutat and L. Lachimi, Structure of the set of bounded solutions and existence of pseudo almost periodic solutions of a Lienard equation, Differential and Integral Equations, 20 (), Google Scholar [2] J.

Campos and P. Torres P., On the structure of the set of bounded solutions on a periodic Liénard equation, Proc. Amer. Math. Soc., Cited by: 2. Recently published articles from Journal of Differential Equations. Recently published articles from Journal of Differential Equations.

Classical bounded and almost periodic solutions to quasilinear first-order hyperbolic systems in a strip. 15 July Travelling wave behaviour arising in nonlinear diffusion problems posed in tubular.

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[21] A. Pankov, Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations. (Translated from Russian by by V. Zjackovski and A. Pankov). Mathematics and Applications (Russian Series), v.

Kluwer Academic Publishers [22] W. Rudin, Functional Analysis, Mc Graw-Hill Book Company, New York [1] Giovanni P. nce and uniqueness of time-periodic solutions to the Navier-Stokes equations in the whole plane.

Discrete & Continuous Dynamical Systems - S,6 (5): doi: /dcdssCited by: 2. The differential operator del, also called nabla operator, is an important vector differential operator. It appears frequently in physics in places like the differential form of Maxwell's three-dimensional Cartesian coordinates, del is defined: ∇ = ^ ∂ ∂ + ^ ∂ ∂ + ^ ∂ ∂.

Del defines the gradient, and is used to calculate the curl, divergence, and Laplacian of various. Almost periodic solutions of impulsive differential equations Gani T. Stamov (auth.) In the present book a systematic exposition of the results related to almost periodic solutions of impulsive differential equations is given and the potential for their application is illustrated.

Almost Periodic Equations 96 Nonlinear Differential Equations 98 Bilaterally Asymptotically Almost Periodic Solutions Asymptotically Almost Periodic Equations with Convergence 4. Asymptotically Almost Periodic Distributions and Solutions of Differential Equations Bounded on Semiaxis Distributions Multiple positive solutions for nonlinear high-order Riemann–Liouville fractional differential equations boundary value problems with p-Laplacian operator.

In this paper, we study the existence of multiple positive solutions for boundary value problems of high-order Riemann–Liouville fractional differential equations involving the p-Laplacian operator.Topics in Abstract Differential Equations II by S. D. Zaidman,available at Book Depository with free delivery worldwide.