Inverse Spectral Problems for Linear Differential Operators and Their Applications

1st Edition

V A Yurko

CRC Press
Published January 18, 2000
Reference - 272 Pages
ISBN 9789056991890 - CAT# TF2933
Series: Analytical Methods and Special Functions

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Summary

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.

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