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Focusing on direct and inverse Sturm-Liouville problems, this book explores recent advancements in both theory and practice across finite and infinite intervals. It introduces a universal method for solving spectral and scattering problems using transmutation operators, detailing their efficient construction. The text derives analytical solutions for Sturm-Liouville equations and integral kernels in functional series form, highlighting unique characteristics that facilitate straightforward numerical solutions for a diverse range of problems.
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Direct and Inverse Sturm-Liouville Problems, Vladislav V. Kravchenko
- Language
- Released
- 2020
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- Title
- Direct and Inverse Sturm-Liouville Problems
- Subtitle
- A Method of Solution
- Language
- English
- Authors
- Vladislav V. Kravchenko
- Publisher
- Springer International Publishing
- Publisher
- 2020
- Format
- Paperback
- Pages
- 168
- ISBN13
- 9783030478483
- Category
- Mathematics
- Description
- Focusing on direct and inverse Sturm-Liouville problems, this book explores recent advancements in both theory and practice across finite and infinite intervals. It introduces a universal method for solving spectral and scattering problems using transmutation operators, detailing their efficient construction. The text derives analytical solutions for Sturm-Liouville equations and integral kernels in functional series form, highlighting unique characteristics that facilitate straightforward numerical solutions for a diverse range of problems.