A discontinuous Sturm–Liouville problem with boundary conditions rationally dependent on the eigenparameter

Z Zheng, J Cai, K Li, M Zhang - Boundary Value Problems, 2018 - Springer
The present paper deals with a class of discontinuous Sturm–Liouville problems with
boundary conditions rationally dependent on the eigenparameter. Operator formulation is …

Generalized fourier series as green's function expansion for multi-interval Sturm–Liouville systems

K Aydemir, OS Mukhtarov - Mediterranean Journal of Mathematics, 2017 - Springer
This study aims to investigate a class of boundary-value transmission problems consisting of
Sturm–Liouville equation on finite number disjoint intervals together with eigenparameter …

Modified Finite Difference Method for solution of two-interval boundary value problems with transition conditions

S Çavuşoğlu, O Mukhtarov - Turkish Journal of Mathematics and …, 2022 - dergipark.org.tr
In this study, we have proposed a new modification of classical Finite Difference Method
(FDM) for the solution of boundary value problems which are defined on two disjoint …

The representation of the solution of Sturm-Liouville equation with discontinuity conditions

O Akcay - Acta Mathematica Scientia, 2018 - Elsevier
The aim of this paper is to construct the integral representation of the solution of Sturm-
Liouville equation with eigenparameter-dependent discontinuity conditions at an interior …

Multi-point transmission problems for Sturm-Liouville equation with an abstract linear operator

F Muhtarov, M Kandemir, OS Mukhtarov - AIP Conference Proceedings, 2017 - pubs.aip.org
In this paper, we consider the spectral problem for the equation− u (x)+(A+ λI) u (x)= f (x) on
the two disjoint intervals (− 1, 0) and (0, 1) together with multi-point boundary conditions and …

[PDF][PDF] A new finite difference algorithm for boundary value problems involving transmission conditions

S Çavuşoğlu, OS Mukhtarov - e-Journal of Analysis and Applied Mathematics - sciendo.com
The finite difference method (FDM) is used to find an approximate solution to ordinary and
partial differential equations of various type using finite difference equations to approximate …

Riesz basis property of weak eigenfunctions for boundary-value problem with discontinuities at two interior points

H Olğar, OS Mukhtarov, K Aydemir - AIP Conference Proceedings, 2017 - pubs.aip.org
We investigate one discontinuous boundary value problem which consist of a Sturm-
Liouville equation with piecewise continuous potential together with eigenparameter …

Operator-theoretic method for two-interval Sturm-Liouville problems with impulsive effects

OS Mukhtarov - AIP Conference Proceedings, 2017 - pubs.aip.org
It this paper we present an operator-theoretic method for investigation of some spectral
properties of a two-interval Sturm-Liouville problem under supplementary transmission …