1.

Record Nr.

UNISA996466609603316

Autore

Stamov Gani T

Titolo

Almost Periodic Solutions of Impulsive Differential Equations [[electronic resource] /] / by Gani T. Stamov

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012

ISBN

3-642-27546-X

Edizione

[1st ed. 2012.]

Descrizione fisica

1 online resource (XX, 217 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 2047

Disciplina

515.352

Soggetti

Differential equations

Difference equations

Functional equations

Applied mathematics

Engineering mathematics

Ordinary Differential Equations

Difference and Functional Equations

Applications of Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references (p. 205-213) and index.

Nota di contenuto

1 Impulsive Differential Equations and Almost Periodicity -- 2 Almost Periodic Solutions -- 3 Lyapunov Method and Almost Periodicity -- 4 Applications.

Sommario/riassunto

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.