The aim of this study is to investigate a new type boundary value problems which consist of
the equation-𝑦 ″(𝑋)+(ℬ𝑦)(𝑋)= 𝜆𝑦 (𝑋) on two disjoint intervals (-1, 0) and (0, 1) together …

The objective of this paper is the investigation of a new class Sturm–Liouville problems on
two disjoint intervals when the eigenparameter appears not only in the equation but also in …

We consider a new type Sturm-Liouville problems whose main feature is the nature of
boundary conditions. Namely, we study the nonhomogeneous Sturm-Liouville equation. p …

In this paper, we investigate scattering theory of the impulsive Sturm-Liouville boundary
value problem (ISBVP). In particular, we find the Jost solution and the scattering function of …

In this paper, we present an investigation about scattering analysis of an transmission
boundary value problem (TBVP) which consists a discrete Schrödinger equation and …

In this paper, we investigate analytical and asymptotic properties of the Jost solution and
Jost function of the impulsive discrete Dirac equations. We also study eigenvalues and …

We consider an impulsive boundary value problem consisting of a quantum difference
equation and impulsive boundary conditions. Discussing the Jost solution and scattering …

In this paper the operator-theoretical method to investigate a new type boundary value
problems consisting of a two-interval Sturm-Liouville equation together with boundary and …

This paper is concerned with q‐Sturm‐Liouville boundary value problem in the Hilbert space
with a spectral parameter in the boundary condition. We construct a self‐adjoint dilation of …

In this paper, we study the Jost solutions of the impulsive Dirac systems (IDS) on entire axis
and examine analytic and asymptotic properties of these solutions. Furthermore, we obtain a …