Yazar "Aydemir, Kadriye" için listeleme
-
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 ... -
Comparison Criteria For Two-İnterval Sturm-Liouville Equations Coupled With Transmission Conditions
Öztürk, Sevda Nur; Mukhtarov, Oktay; Aydemir, Kadriye (Tokat Gaziosmanpaşa Üniversitesi, 2023)The purpose of this work is to establish some comparison properties of the Sturm-Liouville equations defined on two non-intersecting intervals with a common end, on which two conditions for the interaction of the left and ... -
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 ... -
Eigenvalues and eigenfunctions of the Periodic Sturm-Liouville Problems with discontinuities
Yılmaz, Osman; Kandemir, Mustafa; Aydemir, Kadriye (Tokat Gaziosmanpasa University, 2019) -
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 ... -
İç Tekil Noktası Bulunan Bir Periyodik Sturm-Liouville Probleminin Bazı Nitel Özellikleri
Esen, Ümmügülsüm; Aydemir, Kadriye; Mukhtarov, Oktay (Tokat Gaziosmanpaşa Üniversitesi, 2023)Bu makalede ortak uç noktası olan iki ayrık aralıkta tanımlı olan kendine eşlenik ikinci mertebeden diferansiyel denklemden (Sturm-Liouville denklemi olarak adlandırılan diferansiyel denklemden), periyodik sınır şartlarından ... -
İki ayrık aralıkta tanımlı olan periyodik Sturm-Liouville problemlerinin spektrumu
Demirbilek, Minel (Amasya Üniversitesi, 2023)Bu tez çalışmasında iki ayrık aralıkta tanımlı olan periyodik Sturm-Liouville probleminin bazı spektral özellikleri araştırılmıştır. Çalışma beş kısımdan oluşmaktadır. Birinci kısımda, Sturm-Liouville teorisinin hangi ... -
İki noktada süreksizliğe sahip olan bir periyodik Sturm-Liouville probleminin bazı özellikleri
Yüksel, Umutkan (Amasya Üniversitesi, 2023)Bu tez çalışmasında iki noktada süreksizliğe sahip periyodik Sturm-Liouville sınır - de ğer - geçiş problemi araştırılmıştır. Çalışma beş bölümden oluşmaktadır. Birinci bölümde, Sturm-Liouville problemleri hakkında genel ... -
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 ... -
A new generalization of the differential transform method for solving boundary value problems
Mukhtarov, Oktay; Yücel, Merve; Aydemir, Kadriye (Tokat Gaziosmanpasa University, 2021)In this article, we propose a new generalization of the differential transformation method (DTM), i.e., α-Parameterized Differential Transform Method (α-PDTM), for finding approximate solutions to the boundary value problems. ... -
Non-classical periodic boundary value problems with impulsive conditions
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 differential equation is given on two disjoint ... -
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 ... -
Spectral Properties of the Anti-Periodic Boundary-Value-Transition Problems
Paş, Serdar; Aydemir, Kadriye; Muhtarov, Fahreddin (Naim ÇAĞMAN, 2020)This work is concerned with the boundary-value-transition problem consisting of a two-interval Sturm-Liouville equation Lu ≔ −u′′(x) + q(x)u(x) = λu(x) , x ∈ -
Süreksizlik şartları içeren bir periyodik sturm-liouville probleminin bazı özellikleri
Esen, Ümmügülsüm (Amasya Üniversitesi, 2024)Bu çalışmada iki ayrık aralıkta verilmiş olan periyodik Sturm-Liouville sınır-değer probleminin bazı özellikleri araştırılmıştır. (L2[-π,0) ⊕ L2(0,π] ) ⊕ ℂ direkt toplam uzayında yeni bir iç çarpım tanımlanarak, çalışılan ... -
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 ...
