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Inverse spectral problems for differential operators and their applications

Author: V A Yurko
Publisher: Amsterdam : Gordon & Breach, ©2000.
Series: Analytical methods and special functions, v. 2.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Consisting of two parts, this text presents a general inverse problem of recovering differential equations with integrable coefficients when the behaviour of the spectrum is arbitrary, then solves  Read more...

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Document Type: Book
All Authors / Contributors: V A Yurko
ISBN: 9056991892 9789056991890
OCLC Number: 42135436
Language Note: Translated from the Russian.
Description: xiii, 253 pages ; 26 cm.
Contents: 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
Series Title: Analytical methods and special functions, v. 2.
Responsibility: V.A. Yurko.
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