Weak eigenfunctions of two-interval Sturm-Liouville problems together with interaction conditions

H Olǧar, OS Mukhtarov - Journal of Mathematical Physics, 2017 - pubs.aip.org
In this study, we consider a new type boundary value problem consisting of a Sturm-Liouville
equation on two disjoint intervals together with interaction conditions and with eigenvalue …

[PDF][PDF] Minimization principle and generalized Fourier series for discontinuous Sturm-Liouville systems in direct sum spaces

OS Mukhtarov, K Aydemir - Journal of Applied Analysis and …, 2018 - jaac-online.com
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 …

[PDF][PDF] A new method for dissipative dynamic operator with transmission conditions

E Ugurlu, K Tas - Complex Anal. Oper. Theory, 2018 - researchgate.net
In this paper, we investigate the spectral properties of a boundary value transmission
problem generated by a dynamic equation on the union of two time scales. For such an …

A new method for dissipative dynamic operator with transmission conditions

E Uğurlu, K Taş - Complex Analysis and Operator Theory, 2018 - Springer
In this paper, we investigate the spectral properties of a boundary value transmission
problem generated by a dynamic equation on the union of two time scales. For such an …

Some Scattering and Spectral Properties of a Difference Equation with an Interface Condition and Hyperbolic Eigenparameter

GB Öznur - Turkish Journal of Mathematics and Computer Science, 2024 - dergipark.org.tr
The purpose aim of this study is to investigate the properties of scattering solutionsand the
scattering function of an difference equation with the interface conditions and …

Positiveness of second order differential operators with interior singularity

O Mukhtarov, H Olgar, F Muhtarov - AIP Conference Proceedings, 2016 - pubs.aip.org
The main goal of this study is to provide an operator-theoretic framework for the investigation
of discontinuous Sturm-Liouville problems with eigenparameter appearing in the boundary …