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

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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Publication Details

Journal
Contemporary Mathematics
Published
2024-10-16
DOI
https://doi.org/10.37256/cm.5420245208
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
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article

On q Sturm Liouville Operator with Periodic Boundary Conditions

Olgun Cabri, Şuayip Toprakseven
Contemporary Mathematics
Spectral Theory in Mathematical Physics
article

On q Sturm Liouville Operator with Periodic Boundary Conditions

Olgun Cabri, Şuayip Toprakseven
article en

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.

Contemporary Mathematics
Artvin Coruh University (TR)
Openalex Percentile: Top 70%
Spectral Theory in Mathematical Physics
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On <i>q</i> Sturm Liouville Operator with Periodic Boundary Conditions — Olgun Cabri, Şuayip Toprakseven · Contemporary Mathematics (2024) | TGRS Research Map | TGRS