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.

Functional Differential Operators and Equations (Mathematics and Its Applications)

Science & Math

Kurbatov, U.G. G.

Mathematics

Springer

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Books by Kurbatov, U.G. G.

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Functional Differential Operators and Equations (Mathematics and Its Applications)