Inverse Spectral Problems for Linear Differential Operators and Their Applications

Inbunden, Engelska, 2000

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Aims to construct the inverse problem theory for ordinary non-self-adjoint differential operators of arbitary order on the half-line and on a finite interval. The book consists of two parts: in the first part the author presents a general inverse problem of recovering differential equations with integrable coefficients when the behaviour of the spectrum is arbitrary. The Weyl matrix is introduced and studied as a spectral characteristic. The second part of the book is devoted to solving incomplete inverse problems when a priori information about the operator or its spectrum is available and these problems are significant in applications.

Produktinformation

Utgivningsdatum2000-01-18
Mått178 x 254 x undefined mm
Vikt730 g
FormatInbunden
SpråkEngelska
SerieAnalytical Methods and Special Functions
Antal sidor272
FörlagTaylor & Francis Inc
ISBN9789056991890

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Part One: Recovery of Differential Operators from the Weyl Matrix; 1. Formulation of the Inverse Problem: A Uniqueness Theorem 2. Solution of the Inverse Problem on the Half-line 3. Differential Operators with a Simple Spectrum 4. Solution of the Inverse Problem on a Finite Interval 5. Inverse Problems for the Self-Adjoint Case 6. Differential Operators with Singularities; Part Two: Recovery of Differential Operators from the Weyl Functions: Differential Operators with a "Separate Spectrum"; 7. Stability of the Solution of the Inverse Problem 8.Method of Standard Models: Information Conditions 9. An Inverse Problem of Elasticity Theory 10. Differential Operator with Locally Integrable Coefficients 11. Discrete Inverse Problems: Applications to Differential Operators 12. Inverse Problems for Integro-differential Operators