Discontinuous Matrix Sturm-Liouville Problems

Bilender Paşa Allahverdiev; Hüseyin Tuna

Discontinuous Matrix Sturm-Liouville Problems

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Authors

Bilender Paşa Allahverdiev
Hüseyin Tuna

Keywords:

matrix Sturm-Liouville problem, transmission conditions, maximal operator, minimal operator, self-adjoint operator, spectral resolution

Abstract

In this paper, we investigate discontinuous matrix Sturm-Liouville problems. We establish an existence and uniqueness result. Next, we introduce the corresponding maximal and minimal operators for this problem and some properties of these operators are investigated. Moreover, we give a criterion under which these operators are self-adjoint. Finally, we give an eigenfunction expansion.

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Published

2022-01-01

How to Cite

Allahverdiev, B. P., & Tuna, H. (2022). Discontinuous Matrix Sturm-Liouville Problems. Eurasian Mathematical Journal, 13(3), 08–22. Retrieved from https://emj.enu.kz/index.php/main/article/view/260