The present paper deals with a class of discontinuous Sturm–Liouville problems with
boundary conditions rationally dependent on the eigenparameter. Operator formulation is …

In this paper, we propose a new type of boundary value problems for 2-interval Sturm-
Liouville equations which differs from the classical periodic Sturm-Liouville problems in that …

In this paper a Sturm–Liouville equation together with eigenparameter-dependent boundary-
transmission conditions are considered on two disjoint intervals. We construct the resolvent …

In this paper we introduce to consideration a new type boundary value problems consisting
of an “Sturm-Liouville” equation on two disjoint intervals as− p (x) y′′+ q (x) y+ By| x= µy …

The purpose of this study is to present a new modification of finite difference method (FDM)
for approximating the solution of the two-interval boundary value problems for second order …

By modifing the Green's function method we study certain spectral aspects of discontinuous
Sturm-Liouville problems with interior singularities. Firstly, we define four eigen-solutions …

This work is devoted to the study of some spectral properties of two-interval Sturm–Liouville
problems of new type together with transmission condition at the interaction point. Here, the …

In this study, we apply the generalized unified method (GUM), an enhanced version of the
unified method, to find novel exact solutions of the Drinfeld-Sokolov System (DSS) that …

This paper is devoted to a new type of boundary-value problems for Sturm-Liouville
equations defined on three disjoint intervals (− π,− π+ d),(− π+ d, π− d) and (π− d, π) …

In this paper, we study the Sturm–Liouville problem which has not only the discontinuous
coefficient, but also the discontinuity condition at an interior point of a finite interval. The new …