On <i>q</i> Sturm Liouville Operator with Periodic Boundary Conditions

Olgun Cabri; Suayip Toprakseven

doi:10.37256/cm.5420245208

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
Suayip Toprakseven Department of Accounting and Tax, Artvin Coruh University, Artvin, Turkey https://orcid.org/0000-0003-3901-9641

DOI:

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

Keywords:

periodic boundary conditions, q-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

How to Cite

Cabri O, Toprakseven S. On <i>q</i> Sturm Liouville Operator with Periodic Boundary Conditions. Contemp. Math. [Internet]. 2024 Oct. 16 [cited 2024 Oct. 18];5(4):4309-22. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5208

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Issue

Contemporary Mathematics, Volume 5 Issue 4 (2024)

Section

Research Article

License

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