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Inverse Spectral Problems for Linear Differential Operators and Their Applications : International Series of Monographs in Mathematics Vol. 2 - V. A. Yurko

Inverse Spectral Problems for Linear Differential Operators and Their Applications

International Series of Monographs in Mathematics Vol. 2

Hardcover Published: 18th January 2000
ISBN: 9789056991890
Number Of Pages: 272

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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.

Recovery of Differential Operators from the Weyl Matrix
Formulation of the Inverse Problem: A Uniqueness Theorem
Solution of the Inverse Problem on the Half-line
Differential Operators with a Simple Spectrum
Solution of the Inverse Problem on a Finite Interval
Inverse Problems for the Self-Adjoint Case
Differential Operators with Singularities
Recovery of Differential Operators from the Weyl Functions: Differential Operators with a... Separate
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9789056991890
ISBN-10: 9056991892
Series: International Series of Monographs in Mathematics Vol. 2
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 272
Published: 18th January 2000
Publisher: Taylor & Francis Inc
Country of Publication: US
Dimensions (cm): 25.4 x 17.15  x 3.18
Weight (kg): 0.74
Edition Number: 1

Earn 874 Qantas Points
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