On the Solution of a Class of Discontinuous Sturm-Liouville Problems

Year 2025, Volume: 8 Issue: 1, 49 - 56, 27.03.2025

Hanlar Reşidoğlu , Döne Karahan , Ufuk Çelik

https://doi.org/10.33434/cams.1605646

Abstract

This study examines boundary value problems consisting of a second-order differential equation with discontinuous coefficients and boundary conditions. Asymptotic formulas for the eigenvalues and eigenfunctions of the problem are derived, and an expansion formula is obtained based on the eigenfunctions.

Keywords

Asymptotic formulas, Discontinuous coefficient, Expansion formula, Sturm-Liouville problem

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