Eigenvalue Problem With Two Parameters on Time Scales

ABSTRACT In this study, two parameter eigenvalue problems were defined on time scales. This problem was reduced to a one parameter partial dynamic equation. In addition, spectral properties such realness of eigenvalue and orthogonality of eigenfunction for operator with two‐parameter were investigated and some integral relations were given.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-09-27
DOI
https://doi.org/10.1002/mma.70196
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

Eigenvalue Problem With Two Parameters on Time Scales

Sertaç Göktaş, Emrah Yılmaz, Aslı Öner
Mathematical Methods in the Applied Sciences
Nonlinear Differential Equations Analysis
article

Eigenvalue Problem With Two Parameters on Time Scales

Sertaç Göktaş, Emrah Yılmaz, Aslı Öner
article en

Abstract

ABSTRACT In this study, two parameter eigenvalue problems were defined on time scales. This problem was reduced to a one parameter partial dynamic equation. In addition, spectral properties such realness of eigenvalue and orthogonality of eigenfunction for operator with two‐parameter were investigated and some integral relations were given.

Mathematical Methods in the Applied SciencesVol. 49(2)
Fırat University (TR), Mersin Üniversitesi (TR)
Openalex Percentile: Top 63%
Nonlinear Differential Equations Analysis
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