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Complete second order linear differential equations in Hilbert spaces Book

Complete second order linear differential equations in Hilbert spaces
Complete second order linear differential equations in Hilbert spaces, , Complete second order linear differential equations in Hilbert spaces has a rating of 4.5 stars
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  • Complete second order linear differential equations in Hilbert spaces
  • Written by author Alexander Ya. Shklyar
  • Published by Springer-Verlag New York, LLC, December 2008
  • Incomplete second order linear differential equations in Banach spaces as well as first order equations have become a classical part of functional analysis. This monograph is an attempt to present a unified systematic theory of second order equations y" (
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Preface
Introduction
Ch. 1Joint spectrum of commuting normal operators and its position. Estimates for roots of second order polynomials. Definition of well-posedness of boundary-value problems
Ch. 2Well-posedness of boundary-value problems for equation (1) in the case of commuting self-adjoint A and B
Ch. 3The Cauchy problem
Ch. 4Boundary-value problems on a finite segment
Ch. 5Boundary behaviour of an integral transform R(t) as t [actual symbol not reproducible] 0 depending on the sub-integral measure
Ch. 6Initial data of solutions
Ch. 7The general form of weak solutions
Ch. 8Fatou-Riesz property
Ch. 9Extension of weak solutions
Ch. 10Stability and stabilization of weak solutions
Ch. 11The Dirichlet problem on a half-line
Ch. 12The Neumann problem on a half-line
Commentaries on the literature
Bibliography
Index
List of symbols


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