Yazar "Aydemir, K." için listeleme
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Asymptotics of the eigenvalues and Abel basis property of the root functions of new type Sturm-Liouville problems
Mukhtarov, O. Sh.; Aydemir, K.; Yakubov, S.Y. (International Press, Inc., 2022)The main goal of this study is to investigate the main spectral properties of a new type Sturm–Liouville problems(SLP’s). The problems studied here differs from the classical SLP’s in that, the equation contain an abstract ... -
Computation of Eigenfunctions of Nonlinear Boundary-Value-Transmission Problems by Developing Some Approximate Techniques
Yucel, M.; Mukhtarov, O. Sh.; Aydemir, K. (Soc Paranaense Matematica, 2023)In this study, we investigate a boundary value problem for nonlinear Sturm-Liouville equations with additional transmission conditions at one interior singular point. Known numerical methods are intended for solving initial ... -
Generalized Fourier Series as Green's Function Expansion for Multi-interval Sturm-Liouville Systems
Aydemir, K.; Mukhtarov, O. Sh. (SPRINGER BASEL AG, 2017)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-dependent boundary conditions and ... -
A NEW TYPE STURM-LIOUVILLE PROBLEM WITH AN ABSTRACT LINEAR OPERATOR CONTAINED IN THE EQUATION
Aydemir, K.; Mukhtarov, O. Sh (Taylor & Francis Ltd, 2022)In this study we shall introduce to the consideration a new type Sturm-Liouville problem, which differs from the standard problems in that it contain nondifferential term in the equation. Namely, the equation contains an ... -
OPERATOR-PENCIL REALIZATION OF ONE STURM-LIOUVILLE PROBLEM WITH TRANSMISSION CONDITIONS
Mukhtarov, O. Sh; Olgar, H.; Aydemir, K.; Jabbarov, I. Sh (MINISTRY COMMUNICATIONS & HIGH TECHNOLOGIES REPUBLIC AZERBAIJAN, 2018)We consider a class of boundary value problems on two disjoint intervals for Sturm-Liouville equation together with supplementary transmission conditions at the point of interaction. The spectral parameter lambda appears ... -
Picone Type Comparison Theorems for Two-Iterval Sturm-Liouville Equations with Transmission Conditions
Mukhtarov, O. Sh.; Aydemir, K. (Springernature, 2025)In this study we consider a Sturm-Liouville equation (k(x)y ')'+sigma(x)y=0,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} ... -
Riesz Basis Property of Weak Eigenfunctions for Boundary-Value Problem with Discontinuities at Two Interior Points
Olgar, H.; Mukhtarov, O. Sh.; Aydemir, K. (AMER INST PHYSICS, 2017)We investigate one discontinuous boundary value problem which consist of a Sturm-Liouville equation with piecewise continuous potential together with eigenparameter-dependent boundary conditions and four supplementary ... -
Spectral Analysis of ?-Semi Periodic 2-Interval Sturm-Liouville Problems
Mukhtarov, O. Sh; Aydemir, K. (Springer Basel Ag, 2022)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, the boundary and transmission conditions ... -
Spectrum of periodic Sturm-Liouville problems involving additional transmission conditions
Aydemir, K.; Mukhtarov, O. Sh (Springer-Verlag Italia Srl, 2023)This paper presents some spectral properties of the Sturm-Liouville equation associated with periodic boundary conditions and additional transmission conditions at one interior singular point. We derived asymptotic formulas ...
