Periodic Indefinite Sturm-Liouville Problems With One Turning Point

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Authors

  • Sarita Thakar
     Department of Mathematics, Shivaji University, Kolhapur ,IN
  • Pratiksha Demanna
     Department of Mathematics, Shivaji University, Kolhapur ,IN

DOI:

https://doi.org/10.18311/jims/2022/26181

Keywords:

Periodic boundary conditions, Indefinite Sturm Liouville problems, Turning point
Differential Equations

Abstract

Multiplicity of eigenvalues of the regular indefinite Sturm- Liouville problem ?y"" + qy = ?wy on [a, b] subject to periodic boundary conditions is discussed. A necessary and sufficient condition for the existence of non-simple real eigenvalues is proved. Eigenfunctions corresponding to non-simple real eigenvalues are obtained. In this article, we discuss the interlacing property in one turning point case with periodic boundary conditions.

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Published

2022-01-27

How to Cite

Thakar, S., & Demanna, P. (2022). Periodic Indefinite Sturm-Liouville Problems With One Turning Point. The Journal of the Indian Mathematical Society, 89(1-2), 182–197. https://doi.org/10.18311/jims/2022/26181

Issue

Volume 89, Issue 1-2, January-June 2022

Section

Articles

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Copyright (c) 2022 Sarita Thakar, Pratiksha Demanna

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2020-10-04
Accepted 2021-09-20
Published 2022-01-27

 

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