In this study, a boundary-value problem is considered, which is generated by Sturm–
Liouville differential equation, parameter-dependent boundary conditions and discontinuity …

We deal with the Dirac operator with eigenvalue dependent boundary and jump conditions.
Properties of eigenvalues, eigenfunctions and the resolvent operator are studied. Moreover …

In this paper, we consider linear Hamiltonian differential systems which depend in general
nonlinearly on the spectral parameter and with Dirichlet boundary conditions. Our results …

Abstract We consider a Sturm–Liouville equation ℓ y:=-y''+ qy= λ y ℓ y:=-y′′+ qy= λ y on
the intervals (-a, 0)(-a, 0) and (0, b) with a, b> 0 a, b> 0 and q ∈ L^ 2 (-a, b) q∈ L 2 (-a, b) …

Abstract We consider a Sturm–Liouville equation ℓ y:=-y′′+ qy= λ y on the intervals (-a, 0)
and (0, b) with a, b> 0 and q∈ L 2 (-a, b). Boundary conditions y (-a) cos α= y′(-a) sin α, y …

An impulsive boundary-value problem generated by Sturm–Liouville differential equation
with the eigenvalue parameter non-linearly contained in one boundary condition and in the …

We introduce GBDT version of Darboux transformation for Hamiltonian and Shin–Zettl
systems as well as for Sturm–Liouville equations (including indefinite Sturm–Liouville …

In this article, an impulsive Sturm–Liouville boundary value problem with the eigenvalue
parameter rationally contained in one-boundary condition and linearly contained in the jump …

In this paper, we consider a discontinuous Dirac operator with eigenparameter dependent
both boundary and two transmission conditions. We introduce a suitable Hilbert space …

INVERSE SPECTRAL PROBLEMS FOR DISCONTINUOUS STURM-LIOUVILLE OPERATOR
WITH EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS. 1. Intro Page 1 …