Functional Differential Equations with Infinite Delay / by Yoshiyuki Hino, Satoru Murakami, Toshiki Naito.

Format:

Book

Author/Creator:

Hino, Yoshiyuki, author.

Murakami, Satoru, 1950- author.

Naitō, Toshiki, 1944- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1473.

Lecture Notes in Mathematics, 0075-8434 ; 1473

Language:

English

Subjects (All):

Global analysis (Mathematics).

Analysis.

Local Subjects:

Analysis.

Physical Description:

1 online resource (X, 318 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1991.

System Details:

text file PDF

Summary:

In the theory of functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space); and diverse (duplicated) theories arise, according to the choice of phase space. To unify the theories, an axiomatic approach has been taken since the 1960's. This book is intended as a guide for the axiomatic approach to the theory of equations with infinite delay and a culmination of the results obtained in this way. It can also be used as a textbook for a graduate course. The prerequisite knowledge is foundations of analysis including linear algebra and functional analysis. It is hoped that the book will prepare students for further study of this area, and that will serve as a ready reference to the researchers in applied analysis and engineering sciences.

Contents:

Phase Spaces

Fundamental theorems

Stieltjes integrals and linear operators on ?

General linear systems

Linear autonomous systems

Linear periodic systems

Fading memory spaces and functional differential equations

Stabilities in perturbed systems and limiting equations

Existence of periodic solutions and almost periodic solutions.

Other Format:

Printed edition:

ISBN:

9783540473886

Access Restriction:

Restricted for use by site license.