Methods of Solution of Sturm-Liouville Equations, Direct and Inverse Problems

Alexey N. Karapetyants and Vladislav V. Kravchenko
Additional contact information
Alexey N. Karapetyants: Southern Federal University, Institute of Mathematics, Mechanics and Computer Sciences and Regional Mathematical Center
Vladislav V. Kravchenko: Cinvestav-IPN, Campus Queretaro, Department of Mathematics

Chapter Chapter 7 in Methods of Mathematical Physics, 2022, pp 131-183 from Springer

Abstract: Abstract In the previous chapter we saw that the Sturm-Liouville equation naturally arises when solving partial differential equations by the Fourier method of separation of variables. Applications of the Sturm-Liouville equation are not limited to the Fourier method. It is one of the most important mathematical equations. Up to now no formula for its general solution in a closed form is known, unlike the case of a linear differential equation of first order.

Date: 2022
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-17845-0_7

Ordering information: This item can be ordered from
http://www.springer.com/9783031178450

DOI: 10.1007/978-3-031-17845-0_7

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().