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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.
Buchkauf
Direct and Inverse Sturm-Liouville Problems, Vladislav V. Kravchenko
- Sprache
- Erscheinungsdatum
- 2020
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- (Paperback)
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- Titel
- Direct and Inverse Sturm-Liouville Problems
- Untertitel
- A Method of Solution
- Sprache
- Englisch
- Autor*innen
- Vladislav V. Kravchenko
- Erscheinungsdatum
- 2020
- Einband
- Paperback
- Seitenzahl
- 168
- ISBN13
- 9783030478483
- Kategorie
- Mathematik
- Beschreibung
- 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.