Regular third-order boundary value problems

E Uğurlu - Applied Mathematics and Computation, 2019 - Elsevier
In this paper, we consider some boundary value problems generated by third-order formally
symmetric (self-adjoint) regular differential expression and separated, real-coupled and …

Two‐linked periodic Sturm–Liouville problems with transmission conditions

OS Mukhtarov, K Aydemir - Mathematical Methods in the …, 2021 - Wiley Online Library
The aim of this study is to generalize some important spectral properties of classical periodic
Sturm–Liouville problems to two‐linked periodic problems with additional transmission …

Oscillation properties for non-classical Sturm-Liouville problems with additional transmission conditions

OS Mukhtarov, K Aydemir - Mathematical Modelling and Analysis, 2021 - jest.vgtu.lt
This work is aimed at studying some comparison and oscillation properties of boundary
value problems (BVP's) of a new type, which differ from classical problems in that they are …

The Parseval equality and expansion formula for singular Hahn-Dirac system

BP Allahverdiev, H Tuna - … of differential equations and game theory, 2020 - igi-global.com
This work studies the singular Hahn-Dirac system given by Here 𝜇 is a complex spectral
parameter, p (.) and r (.) are real-valued continuous functions at 𝜔0, defined on [𝜔0,∞) and …

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 …

Spectral Analysis of -Semi Periodic 2-Interval Sturm-Liouville Problems

OS Mukhtarov, K Aydemir - Qualitative theory of dynamical systems, 2022 - Springer
In this paper, we propose a new type of boundary value problems for 2-interval Sturm-
Liouville equations which differs from the classical periodic Sturm-Liouville problems in that …

Basis properties of the eigenfunctions of two-interval Sturm–Liouville problems

OS Mukhtarov, K Aydemir - Analysis and Mathematical Physics, 2019 - Springer
In this paper a Sturm–Liouville equation together with eigenparameter-dependent boundary-
transmission conditions are considered on two disjoint intervals. We construct the resolvent …

[PDF][PDF] Discontinuous Sturm–Liouville problems involving an abstract linear operator

OS Mukhtarov, K Aydemir - J. Appl. Anal. Comput, 2020 - jaac-online.com
In this paper we introduce to consideration a new type boundary value problems consisting
of an “Sturm-Liouville” equation on two disjoint intervals as− p (x) y′′+ q (x) y+ By| x= µy …

On a class of inverse Sturm–Liouville problems with eigenparameter-dependent boundary conditions

L Zhang, J Ao - Applied Mathematics and Computation, 2019 - Elsevier
A class of inverse Sturm–Liouville problems of Atkinson type with eigenparameter-
dependent boundary conditions is investigated. By using the matrix representations of the …

Numerical Analysis for Sturm–Liouville Problems with Nonlocal Generalized Boundary Conditions

CS Liu, CW Chang, CL Kuo - Mathematics, 2024 - mdpi.com
For the generalized Sturm–Liouville problem (GSLP), a new formulation is undertaken to
reduce the number of unknowns from two to one in the target equation for the determination …