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Inverse Spectral Problems for Linear Differential Operators and Their Applications.
・ISBN 978-90-5699-189-0 hard GB£ 260.00
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-429-07841-5
| 著者・編者 | Yurko, V A, |
|---|---|
| シリーズ | Analytical Methods and Special Functions |
| 出版社 | (CRC Press Inc, US) |
| 出版年月 | 2000 |
| ページ数 | 272 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-8019> |
解説
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.