On q Sturm Liouville Operator with Periodic Boundary Conditions

Authors

Olgun Cabri Department of Business Management, Artvin Coruh University, Artvin, Turkey https://orcid.org/0000-0002-0690-9667 (unauthenticated)
Suayip Toprakseven Department of Accounting and Tax, Artvin Coruh University, Artvin, Turkey https://orcid.org/0000-0003-3901-9641 (unauthenticated)

DOI:

https://doi.org/10.37256/cm.5420245208

Keywords:

periodic boundary conditions, <i>q</i>-Sturm Liouville, eigenvalues, eigenfunctions

Abstract

In this study, we consider q-Sturm Liouville operator with periodic boundary conditions. An asymptotic expression of the solution is obtained. With the help of this asymptotic representation, an asymptotic solution of the characteristic equation is presented. An application of the Rouche theorem, asymptotic expressions of eigenvalues are obtained.

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Published

2024-10-16

Issue

Contemporary Mathematics, Volume 5 Issue 4 (2024), 4132-6581

Section

Research Article

License

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

How to Cite

On q Sturm Liouville Operator with Periodic Boundary Conditions. Contemp. Math. [Internet]. 2024 Oct. 16 [cited 2025 Dec. 24];5(4):4309-22. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/5208

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