Direct and inverse Sturm-Liouville problems : a method of solution / Vladislav V. Kravchenko.
This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Strum-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the...
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| Main Author: | |
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| Format: | Ebook |
| Language: | English |
| Published: |
Cham, Switzerland :
Birkhäuser,
[2020]
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| Series: | Frontiers in mathematics.
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| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Strum-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators and their efficient construction. Analytical representations for solutions of Strum-Liouville equations as well as for the integral kernels of the transmutation operators and derived in the form of functional series revealing interesting special features and lending themselves to direct and simple numerical solution of a wide variety of problems. -- Back cover |
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| Physical Description: | 1 online resource (xi, 154 pages). |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 3030478483 9783030478483 3030478491 9783030478490 |