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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Functional Differential Operators and Equations
• Author: U. G. Kurbatov
• Language: English
• Binding: Hardback
• Number of pages: 434
• EAN: 9780792356240
• ISBN: 0792356241
• ID: 05250619
• Publisher: Springer Netherlands
• Weight: 1790 g
• Dimensions: 240 × 160 × 25 mm
• Published: 1999

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