The principal eigenvalue and the principal eigenfunction of a boundary-value-transmission problem

K Aydemir, H Olğar, O Mukhtarov - Turkish Journal of Mathematics …, 2019 - dergipark.org.tr
It is well-know that the Sturm-Liouville theory justifies the" separation of variables" n method
for voluminous partial differential equation problems. For Sturm-Liouville problems the …

[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 …

Discrete Sturm-Liouville equations with point interaction

GG Özbey, Y Aygar, GB Öznur - The Journal of Analysis, 2024 - Springer
Scattering solutions and several properties of scattering function of a discrete Sturm-
Liouville boundary value problem with point interaction (PBVP) are derived. Moreover …

[PDF][PDF] Studies on the Deficiency Indices of Product Differential Operators in Direct Sum Spaces

SES Ibrahim - 2021 - researchgate.net
In this chapter, we explained the deficiency index problem for the product differential
operators which are generated by a general ordinary quasi-differential expressions 𝜏1 …