On completeness of weak eigenfunctions for multi-interval Sturm-Liouville equations with boundary-interface conditions

H Olgar - Demonstratio Mathematica, 2023 - degruyter.com
The goal of this study is to analyse the eigenvalues and weak eigenfunctions of a new type
of multi-interval Sturm-Liouville problem (MISLP) which differs from the standard Sturm …

The basis property of generalized eigenfunctions for one boundary value problem with discontinuities at two interior points

H Olğar, O Mukhtarov - Journal of New Results in Science, 2024 - dergipark.org.tr
In this study, we consider a spectral problem for one boundary value problem with
discontinuities at two interior points. The boundary conditions involve a spectral parameter …

Non-classical periodic boundary value problems with impulsive conditions

SN Öztürk, O Mukhtarov, K Aydemir - Journal of New Results in …, 2023 - dergipark.org.tr
This study investigates some spectral properties of a new type of periodic Sturm-Liouville
problem. The problem under consideration differs from the classical ones in that the …

Çok Aralıklı Bir Sınır Değer Probleminin Bazı Spektral Özellikleri

H Olğar - Gaziosmanpaşa Bilimsel Araştırma Dergisi, 2022 - dergipark.org.tr
Fizik, mühendislik ve doğa bilimlerinin çeşitli dallarındaki birçok problemin çözümünde
çeşitli tipte Sturm-Liouville problemleri karşımıza çıkmaktadır. Bu nedenle, diferansiyel …