Inverse Problems and Nonlinear Evolution Equations : Solutions, Darboux Matrices and Weyl-Titchmarsh Functions.

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This monograph fits theclearlyneed for books with a rigorous treatment of theinverse problems for non-classical systems and that of initial-boundary-value problems for integrable nonlinear equations. The authorsdevelop a unified treatment of explicit and global solutions via the transfer matrix func...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sakhnovich, Lev A.
Otros Autores: Sakhnovich, Alexander L., Roitberg, Inna Ya
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : De Gruyter, 2013.
Colección:De Gruyter studies in mathematics.
Temas:
Inverse problems (Differential equations)
Evolution equations, Nonlinear.
Darboux transformations.
Boundary value problems.
Matrices.
Functions.
Problèmes inverses (Équations différentielles)
Équations d'évolution non linéaires.
Transformations de Darboux.
Problèmes aux limites.
Fonctions (Mathématiques)
functions (mathematics)
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Boundary value problems
Darboux transformations
Evolution equations, Nonlinear
Functions
Matrices
Darboux-Transformation
Nichtlineare Evolutionsgleichung
Inverses Problem
Randwertproblem
Application.
Differential Equation.
Direct Problem.
Explicit Solution.
Global Solution.
Initial-Boundary-Value Problem.
Integrable Nonlinear Equation.
Inverse Problem.
Acceso en línea:Texto completo
Descripción
Sumario:This monograph fits theclearlyneed for books with a rigorous treatment of theinverse problems for non-classical systems and that of initial-boundary-value problems for integrable nonlinear equations. The authorsdevelop a unified treatment of explicit and global solutions via the transfer matrix function in a form due to Lev A. Sakhnovich. The book primarily addresses specialists in the field. However, it is self-contained andstarts with preliminaries and examples, and hencealso serves as an introduction for advanced graduate students in the field.
Notas:7.2 GBDT for linear system depending rationally on z.
Descripción Física:1 online resource (356 pages)
ISBN:9783110258615
3110258617

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