U G Kurbatov

(Author)

Functional Differential Operators and EquationsPaperback, 28 March 2011

Functional Differential Operators and Equations
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Part of Series
Mathematics and Its Applications
Part of Series
Mathematics and Its Applications (Closed)
Print Length
434 pages
Language
English
Publisher
Springer
Date Published
28 Mar 2011
ISBN-10
904815183X
ISBN-13
9789048151837

Description

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 Lx = &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 Lx = 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

Product Details

Author:
U G Kurbatov
Book Format:
Paperback
Country of Origin:
NL
Date Published:
28 March 2011
Dimensions:
23.39 x 15.6 x 2.34 cm
ISBN-10:
904815183X
ISBN-13:
9789048151837
Language:
English
Location:
Dordrecht
Pages:
434
Publisher:
Weight:
635.03 gm

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