Browsing by Author "Mukhtarov, O. Sh."
Now showing items 1-6 of 6
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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 ... -
Multi-Point Transmission Problems for Sturm-Liouville Equation with an Abstract linear Operator
Muhtarov, Fahreddin; Kandemir, Mustafa; Mukhtarov, O. Sh. (AMER INST PHYSICS, 2017)In this paper, we consider the spectral problem for the equation -u ''(x) + (A + lambda I)u(x) = f(x) on the two disjoint intervals (-1, 0) and (0, 1) together with multi-point boundary conditions and supplementary ... -
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 ...
