Class of Sturm–Liouville problems with eigenparameter dependent transmission conditions

K Aydemir, OS Mukhtarov - Numerical Functional Analysis and …, 2017 - Taylor & Francis
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 …

[PDF][PDF] Asymptotic distribution of eigenvalues and eigenfunctions for a multi-point discontinuous Sturm-Liouville problem

K Aydemir, OSH Mukhtarov - Electron. J. Differential Equations, 2016 - researchgate.net
In this article we study a class of generalized BVP's consisting of discontinuous Sturm-
Liouville equation on finite number disjoint intervals, with usual boundary conditions and …

Spectrum and Green's function of a many-interval Sturm–Liouville problem

K Aydemir, OS Mukhtarov - Zeitschrift für Naturforschung A, 2015 - degruyter.com
This article considers a Sturm–Liouville-type problem on a finite number disjoint intervals
together with transmission conditions at the points of interaction. We introduce a new …

[PDF][PDF] General properties of concave functions defined by the generalized Srivastava-Attiya operator

H Bayram, S Altınkaya - Journal of Computational Analysis …, 2017 - eudoxuspress.com
General properties of concave functions defined by the generalized Srivastava-Attiya operator
Page 18 General properties of concave functions defined by the generalized Srivastava-Attiya …

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 …

On the zeros of eigenfunctions of discontinuous Sturm-Liouville problems.

K Aydemir, OS Mukhtarov - Journal of Computational …, 2017 - search.ebscohost.com
In this paper, we prove analogues of the classical Sturm comparison and oscillation
theorems for Sturm-Liouville problem together with boundary-transmission conditions on two …

Asymptotics eigenvalues for many-interval Sturm-Liouville problems

K Aydemir, OS Mukhtarov - AIP Conference Proceedings, 2016 - elibrary.ru
In this work we consider a Sturm-liouville equation on finite number disjoint intervals
together with transmission conditions at the points of interaction. Moreover, the eigenvalues …

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] Basis Properties of Discontinuous Sturm-Liouville Problems

H Olğar, K Aydemir, OS Mukhtarov - Ömer AKIN - academia.edu
In the recent years there has been an increasing interest in the spectral analysis of Sturm-
Liouville type problems with eigenvalue-dependent boundary conditions. Such problems …

[PDF][PDF] Some properties of oscillation solutions of Sturm-Liouville equation with transmission conditions

K Aydemir, H Olgar, OS Mukhtarov - SETSCI-Conference …, 2018 - set-science.com
Oscillation theory for the solutions of Sturm-Liouville problems is one of the traditional trends
in the qualitative theory of differential equations. Its main goal is to establish sufficient …