Almost periodic solutions of impulsive differential equations / Gani T. Stamov

Auteur: Stamov, Gani Trendafilov - AuteurType de document: MonographieCollection: Lecture notes in mathematics ; 2047Langue: anglaisPays: AllemagneÉditeur: Berlin : Springer, cop. 2012Description: 1 vol. (XX-217 p.) ; 24 cm ISBN: 9783642275456 ; br. Résumé: Impulsive differential equations are suitable for the mathematical simulation of evolutionary processes in which the parameters undergo relatively long periods of smooth variation followed by short-term rapid changes (that is, jumps) in their values. Processes of this type are often investigated in various fields of science and technology. The question of the existence and uniqueness of almost periodic solutions of differential equations is an age-old problem of great importance. The qualitative theory of impulsive differential equations is currently undergoing rapid development in relation to the investigation of various processes which are subject to impacts during their evolution, and many findings on the existence and uniqueness of almost periodic solutions of these equations are being made. This book systematically presents findings related to almost periodic solutions of impulsive differential equations and illustrates their potential applications. (Source : Springer).Bibliographie: Bibliogr. p. 205-213. Index. Sujets MSC: 34-02 Ordinary differential equations -- Research exposition (monographs, survey articles)
34A37 Ordinary differential equations -- General theory -- Differential equations with impulses
34A12 Ordinary differential equations -- General theory -- Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions
34A36 Ordinary differential equations -- General theory -- Discontinuous equations
34C27 Ordinary differential equations -- Qualitative theory -- Almost and pseudo-almost periodic solutions
34K14 Ordinary differential equations -- Functional-differential and differential-difference equations -- Almost and pseudo-periodic solutions
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Bibliogr. p. 205-213. Index

Impulsive differential equations are suitable for the mathematical simulation of evolutionary processes in which the parameters undergo relatively long periods of smooth variation followed by short-term rapid changes (that is, jumps) in their values. Processes of this type are often investigated in various fields of science and technology. The question of the existence and uniqueness of almost periodic solutions of differential equations is an age-old problem of great importance. The qualitative theory of impulsive differential equations is currently undergoing rapid development in relation to the investigation of various processes which are subject to impacts during their evolution, and many findings on the existence and uniqueness of almost periodic solutions of these equations are being made.
This book systematically presents findings related to almost periodic solutions of impulsive differential equations and illustrates their potential applications. (Source : Springer)

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