Yazar "Aydemir, Kadriye" için listeleme
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Bir anti-periyodik sınır değer probleminin temel çözümlerinin asimptotik davranışları
Paş, Serdar (Amasya Üniversitesi, 2021)Bu tez çalışmasında; anti-periyodik sınır-değer-geçiş probleminin temel çözümlerinin asimptotik davranışları araştırılmıştır. Beş bölümden oluşan bu çalışmada birinci bölümde, araştırılan konunun güncelliği, uygulama ... -
Class of Sturm-Liouville Problems with Eigenparameter Dependent Transmission Conditions
Aydemir, Kadriye; Mukhtarov, Oktay Sh. (TAYLOR & FRANCIS INC, 2017)The objective of this paper is the investigation of a new class Sturm-Liouville problems on two disjoint intervals when the eigenparameter appears not only in the equation but also in the boundary and transmission conditions. ... -
Coercive Solvability of Two-Interval Sturm-Liouville Problems with Abstract Linear Operator
Aydemir, Kadriye; Olgar, Hayati (AMER INST PHYSICS, 2017)In this paper we focus our attention on a new type nonhomogeneous Sturm-Liouville systems with abstract linear operator contained in the equation. A different approach is used here for investigation such important properties ... -
Comparison Criteria for Three-interval Sturm-Liouville Equations
Aydemir, Kadriye; Mukhtarov, Oktay (2022)This study devoted to the investigation of comparison properties for periodic Sturm-Liouville problems, defined on three disjoint intervals together with additional transfer conditions across the common endpoint of these ... -
Differential Operator Equations with Interface Conditions in Modified Direct Sum Spaces
Aydemir, Kadriye; Olgar, Hayati; Mukhtarov, Oktay Sh.; Muhtarov, Fahreddin (UNIV NIS, FAC SCI MATH, 2018)We investigate a new type boundary value problem consisting of a differential-operator equation, eigendependent boundary conditions, and two supplementary conditions so-called interface conditions. We give a characterisation ... -
The Eigenvalue Problem with Interaction Conditions at One Interior Singular Point
Mukhtarov, Oktay Sh.; Aydemir, Kadriye (UNIV NIS, FAC SCI MATH, 2017)Some physical processes, both classical physics and quantum physics reduced to eigenvalue problems for Sturm-Liouville equations. In the recent years there has been an increasing interest in discontinuous eigenvalue problems ... -
Green's Function and Carleman's Formula for Transmission Problems
Aydemir, Kadriye (Springernature, 2022)This work is devoted to the study of some spectral properties of two-interval Sturm-Liouville problems of new type together with transmission condition at the interaction point. Here, the interaction point is viewed as a ... -
MINIMIZATION PRINCIPLE AND GENERALIZED FOURIER SERIES FOR DISCONTINUOUS STURM-LIOUVILLE SYSTEMS IN DIRECT SUM SPACES
Mukhtarov, Oktay Sh; Aydemir, Kadriye (WILMINGTON SCIENTIFIC PUBLISHER, LLC, 2018)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 and construct the Green's function ... -
Oscillation Properties for Non-Classical Sturm-Liouville Problems with Additional Transmission Conditions
Mukhtarov, Oktay Sh.; Aydemir, Kadriye (Vilnius Gediminas Tech Univ, 2021)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 defined on two disjoint intervals and include ... -
Some Properties of Eigenvalues and Generalized Eigenvectors of One Boundary Value Problem
Olgar, Hayati; Mukhtarov, Oktay Sh.; Aydemir, Kadriye (UNIV NIS, FAC SCI MATH, 2018)We investigate a discontinuous boundary value problem which consists of a Sturm-Liouville equation with piecewise continuous potential together with eigenparameter dependent boundary conditions and supplementary transmission ... -
The Transmittal-Characteristic Function of Three-Interval Periodic Sturm-Liouville Problem with Transmission Conditions
Aydemir, Kadriye; Mukhtarov, Oktay (2021)In this paper, we study the periodic Sturm-Liouville problem, defined on three non-intersecting intervals with four supplementary conditions which are imposed at two internal points of interaction, the so-called transmission ... -
Two-linked periodic Sturm-Liouville problems with transmission conditions
Mukhtarov, Oktay Sh; Aydemir, Kadriye (Wiley, 2021)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 conditions at an interior point of ... -
The weak eigenfunctions of boundary-value problem with symmetric discontinuities
Olgar, Hayati; Mukhtarov, Oktay S.; Muhtarov, Fahreddin S.; Aydemir, Kadriye (Walter De Gruyter Gmbh, 2022)The main goal of this study is the investigation of discontinuous boundary-value problems for second-order differential operators with symmetric transmission conditions. We introduce the new notion of weak functions for ...
