CONFORMABLE EIGENVALUE PROBLEMS WITH TWO PARAMETERS

Yıl 2024, Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", 10 - 22, 29.12.2024

Aslı Öner , Sertaç Göktaş , Büşra Barut

https://doi.org/10.33773/jum.1546765

Öz

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.

Anahtar Kelimeler

Conformable Derivative, Sturm-Liouville Problems, Two Parameter Eigenvalue Problems

Kaynakça

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