Functional Differential Operators and Equations (Paperback, Softcover reprint of hardcover 1st ed. 1999)

This book deals with linear functional differential equations and operator theory methods for their investigation. The main topics are: the equivalence of the input-output stability of the equation "L"x = &mathsf; and the invertibility of the operator "L" in the class of casual operators; the equivalence of input-output and exponential stability; the equivalence of the dichotomy of solutions for the homogeneous equation "L"x = 0 and the invertibility of the operator "L"; the properties of Green's function; the independence of the stability of an equation from the norm on the space of solutions; shift invariant functional differential equations in Banach space; the possibility of the reduction of an equation of neutral type to an equation of retarded type; special full subalgebras of integral and difference operators, and operators with unbounded memory; and the analogue of Fredholm's alternative for operators with almost periodic coefficients where one-sided invertibility implies two-sided invertibility. Audience: This monograph will be of interest to students and researchers working in functional differential equations and operator theory and is recommended for graduate level courses.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 473
Release date:	March 2011
First published:	1999
Authors:	U. G. Kurbatov
Dimensions:	240 x 160 x 23mm (L x W x T)
Format:	Paperback
Pages:	434
Edition:	Softcover reprint of hardcover 1st ed. 1999
ISBN-13:	978-90-481-5183-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
LSN:	90-481-5183-X
Barcode:	9789048151837

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