Functional Differential Operators and Equations / Edition 1

Functional Differential Operators and Equations / Edition 1

by U.G. Kurbatov
     
 

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ISBN-10: 904815183X

ISBN-13: 9789048151837

Pub. Date: 01/11/2011

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:
9789048151837
Publisher:
Springer Netherlands
Publication date:
01/11/2011
Series:
Mathematics and Its Applications (closed) Series, #473
Edition description:
Softcover reprint of hardcover 1st ed. 1999
Pages:
434
Product dimensions:
0.92(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.

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