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Více informací o knize Functional Differential Operators and Equations

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Functional Differential Operators and Equations
• Autor: U. G. Kurbatov
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 434
• EAN: 9780792356240
• ISBN: 0792356241
• ID: 05250619
• Nakladatelství: Springer Netherlands
• Hmotnost: 1790 g
• Rozměry: 240 × 160 × 25 mm
• Rok vydání: 1999

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