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functional differential operators and equations (en Inglés)
Kurbatov (Autor)
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Springer
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functional differential operators and equations (en Inglés) - kurbatov
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Reseña del libro "functional differential operators and equations (en Inglés)"
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 greens 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 fredholms 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.
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