Functional Differential Operators and Equations / Edition 1

Functional Differential Operators and Equations / Edition 1

by U.G. Kurbatov
     
 

View All Available Formats & Editions

ISBN-10: 0792356241

ISBN-13: 9780792356240

Pub. Date: 04/30/1999

Publisher: Springer Netherlands

The main topics are: the equivalence of the input-output stability of the equation x = and the invertibility of the operator in the class of casual operators; the equivalence of input-output and exponential sta bility; the equivalence of the dichotomy of solutions for the homogene ous equation x = 0 and the invertibility of the operator ; the propert ies of

Overview

The main topics are: the equivalence of the input-output stability of the equation x = and the invertibility of the operator in the class of casual operators; the equivalence of input-output and exponential sta bility; the equivalence of the dichotomy of solutions for the homogene ous equation x = 0 and the invertibility of the operator ; the propert ies of Green's function; the independence of the stability of an equat ion from the norm on the space of solutions; shift invariant functiona l differential equations in Banach space; the possibility of the reduc tion of an equation of neutral type to an equation of retarded type; s pecial full subalgebras of integral and difference operators, and oper ators with unbounded memory; and the analogue of Fredholm's alternativ e for operators with almost periodic coefficients where one-sided inve rtibility implies two-sided invertibility.

Product Details

ISBN-13:
9780792356240
Publisher:
Springer Netherlands
Publication date:
04/30/1999
Series:
Mathematics and Its Applications (closed) Series, #473
Edition description:
1999
Pages:
434
Product dimensions:
1.00(w) x 6.14(h) x 9.21(d)

Table of Contents

Preface. I. Functional Analysis Preliminaries. II. The Initial Value Problem. III. Stability. IV. Shift invariant operators and equations. V. Operators with varying coefficients. VI. Differential difference equations. Comments. Bibliography. Index. Notation Index.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >