Spectral Theory of Canonical Differential Systems. Method of Operator Identities
By: by Lev A. Sakhnovich
Series: Operator Theory: Advances and Applications -- 107; Operator theory, advances and applications -- 107.
Publisher: Birkhäuser Basel; Imprint: Birkhäuser
Published: 1999
Place of publication: Basel
Language: eng
Format: [electronic resource] /
Number of pages: 202
ISBN-13: 9783034897396; 9783034887137
Subjects: Mathematics
Description: Theorems of factorising matrix functions and the operator identity method play an essential role in this book in constructing the spectral theory (direct and inverse problems) of canonical differential systems. The general spectral theory is then applied both to classical spectral problems (Sturm-Liouville, Dirac, string equations, Krein systems) and new, important nonlinear equations such as the nonlinear Schrödinger equation, the modified Korteweg-de Vries equation and the sinh-Gordon equation.
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