CONFORMABLE EIGENVALUE PROBLEMS WITH TWO PARAMETERS

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Journal of Universal Mathematics
Volume:7 Issue:To memory "Assoc. Prof. Dr. Zeynep AKDEMÄ°RCÄ° ÅANLI" Special Issue
CONFORMABLE EIGENVALUE PROBLEMS WITH TWO PARAMETERS

CONFORMABLE EIGENVALUE PROBLEMS WITH TWO PARAMETERS

Authors : Aslı Öner, Sertaç Göktaş, Büşra Barut

Pages : 10-22

Doi:10.33773/jum.1546765

View : 77 | Download : 79

Publication Date : 2024-12-29

Article Type : Research Paper

Abstract :This study used conformable derivatives to define the eigenvalue problems with two parameters and examined various associated spectral properties. Firstly, the conformable eigenvalue problems with two parameters were reduced to the simpler one parameter problems. Additionally, we focused on the orthogonality properties of eigenfunctions. Secondly, investigating the reality of eigenvalues is important to understand the physical relevance and practical usability of the considered eigenvalue problem. Finally, we examined integral relations, which explain important connections and relationships between different aspects of the problem.
Keywords : Conformable Derivative, Sturm-Liouville Problems, Two Parameter Eigenvalue Problems

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