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Frontiers in Mathematics

Direct and Inverse Sturm-Liouville Problems

A Method of Solution

Authors: Kravchenko, Vladislav V.

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  • 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 properties of transmutation operators
  • Formulates some of the most typical direct and inverse spectral and scattering problems
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  • ISBN 978-3-030-47849-0
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About this book

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.

Table of contents (16 chapters)

Table of contents (16 chapters)

Buy this book

eBook $54.99
price for USA in USD
  • ISBN 978-3-030-47849-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Direct and Inverse Sturm-Liouville Problems
Book Subtitle
A Method of Solution
Authors
Series Title
Frontiers in Mathematics
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-47849-0
DOI
10.1007/978-3-030-47849-0
Softcover ISBN
978-3-030-47848-3
Series ISSN
1660-8046
Edition Number
1
Number of Pages
XI, 154
Number of Illustrations
1 b/w illustrations, 27 illustrations in colour
Topics