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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Functional Differential Operators and Equations (Paperback, Softcover reprint of hardcover 1st ed. 1999)
Loot Price: R6,527
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Functional Differential Operators and Equations (Paperback, Softcover reprint of hardcover 1st ed. 1999)
Series: Mathematics and Its Applications, 473
Expected to ship within 10 - 15 working days
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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
"L"x = &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 "L"x = 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.
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