| 书目名称 | Direct and Inverse Sturm-Liouville Problems |
| 副标题 | A Method of Solution |
| 编辑 | Vladislav V. Kravchenko |
| 视频video | |
| 概述 | Explains in detail direct and simple methods for solving direct and inverse Sturm-Liouville and scattering problems on finite and infinite intervals.Includes a brief introduction to the notion and pro |
| 丛书名称 | Frontiers in Mathematics |
| 图书封面 |  |
| 描述 | .This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-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 Sturm-Liouville equations as well as for the integral kernels of the transmutation operators are 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..The book is written for undergraduate and graduate students, as well as for mathematicians, physicists and engineers interested in direct and inverse spectral problems.. |
| 出版日期 | Book 2020 |
| 关键词 | scattering problem; inverse scattering problem; spectral parameter power series; Neumann series of Bess |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-47849-0 |
| isbn_softcover | 978-3-030-47848-3 |
| isbn_ebook | 978-3-030-47849-0Series ISSN 1660-8046 Series E-ISSN 1660-8054 |
| issn_series | 1660-8046 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 18:19:47
