Functional Differential Operators and Equations

di U.G. Kurbatov (Autore)

Springer, 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 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.

• Autore: U.G. Kurbatov
• Editore: Springer
• Collana: Mathematics and Its Applications
• Anno: 1999
• Rilegatura: Hardback
• Pagine: 434 p.
• Dimensioni: 235 x 155 mm
• EAN: 9780792356240

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