Yazar "Şen, Erdoğan" için Fakülteler listeleme
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Asymptotic Analysis of Sturm-Liouville Problem with Dirichlet and Nonlocal Two-Point Boundary Conditions
Stikonas, Arturas; Şen, Erdoğan (Vilnius Gediminas Tech Univ, 2023)In this study, we obtain asymptotic expansions for eigenvalues and eigen-functions of the one-dimensional Sturm-Liouville equation with one classical Dirich-let type boundary condition and two-point nonlocal boundary ... -
Asymptotic analysis of Sturm-Liouville problem with Neumann and nonlocal two-point boundary conditions
Stikonas, Arturas; Şen, Erdoğan (Springer, 2022)In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one-dimensional Sturm-Liouville equation with one classical Neumann-type boundary condition and a two-point nonlocal boundary condition. ... -
Asymptotic analysis of sturm-liouville problem with nonlocal integral-type boundary condition
Stikonas, Arturas; Şen, Erdoğan (Vilnius University Press, 2021)In this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary ... -
Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument
Şen, Erdoğan; Seo, Jong Jin; Aracı, Serkan (Hindawi Ltd, 2013)In the present paper, a discontinuous boundary-value problem with retarded argument at the two points of discontinuities is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions. This is the ... -
Asymptotic distribution of eigenvalues and eigenfunctions of a nonlocal boundary value problem
Şen, Erdoğan; Stikonas, Arturas (VGTU, 2021)In this work, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the second order boundary-value problem with a Bitsadze–Samarskii type nonlocal boundary condition. © 2021 The Author(s). Published by Vilnius ... -
Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem
Şen, Erdoğan; Bayramov, Azad (Wiley-Blackwell, 2013)In this work, a discontinuous boundary-value problem with retarded argument that contains a spectral parameter in the transmission conditions at the point of discontinuity is investigated. We obtained asymptotic formulas ... -
Asymptotic properties of a new Sturm-Liouville problem with retarded argument
Şen, Erdoğan; Aracı, Serkan; Açıkgöz, Mehmet (Wiley, 2014)In this work, we study the asymptotic properties of a new Sturm-Liouville problem with retarded argument. Contrary to previous works, differential equation includes eigenparameter as a quadratic function. In the considered ... -
Asymptotic Properties of Eigenvalues and Eigenfunctions of A Sturm-Liouville Problem with Discontinuous Weight Function
Şen, Erdoğan (Univ Miskolc Inst Math, 2014)In this paper, we extend some spectral properties of regular Sturm-Liouville problems to those which consist of a Sturm-Liouville equation with discontinuous weight at two interior points together with spectral parameter-dependent ... -
Bounds for distance between eigenvalues of boundary value problems with retarded argument
Şen, Erdoğan (De Gruyter, 2019)In this study we are concerned with spectrum of boundary value problems with retarded argument with discontinuous weight function, two supplementary transmission conditions at the point of discontinuity, spectral and ... -
Calculation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument which contains a spectral parameter in the boundary condition
Şen, Erdoğan; Bayramov, Azad (Pergamon-Elsevier Science Ltd, 2011)In this work, a discontinuous boundary-value problem with retarded argument which contains a spectral parameter in the boundary condition and with transmission conditions at the point of discontinuity is investigated. We ... -
A Class of Generating Functions for a New Generalization of Eulerian Polynomials with their Interpolation Functions
Araci, Serkan; Şen, Erdoğan; Açıkgöz, Mehmet (Univ Nis, Fac Sci Math, 2016)Motivated by a number of recent investigations, we define and investigate the various properties of a new family of the Eulerian polynomials. We derive useful results involving these Eulerian polynomials including (for ... -
A class of second-order differential operators with eigenparameter-dependent boundary and transmission conditions
Şen, Erdoğan (Wiley-Blackwell, 2014)In this study, we investigate a Sturm-Liouville type problem with eigenparameter-dependent boundary conditions and eigenparameter-dependent transmission conditions. By establishing a new self-adjoint operator A associated ... -
A class of sturm-liouville operators with eigenparameter dependent boundary and transmission conditions
In this study, we investigate a Sturm-Liouville type problem with eigenparameter dependent boundary conditions and eigenparameter dependent transmission conditions. By establishing a new self-adjoint operator A associated ... -
Completeness of eigenfunctions of discontinuous Sturm-Liouville problems
Şen, Erdoğan; Mukhtarov, O.; Oruçoğlu, Kamil (Springer International Publishing Ag, 2016)In this work we investigate the resolvent operator and completeness of eigenfunctions of a Sturm-Liouville problem with discontinuities at two points. The problem contains an eigenparameter in one of the boundary conditions. ... -
Computation of eigenvalues and eigenfunctions of a non-local boundary value problem with retarded argument
Şen, Erdoğan; Stikonas, Arturas (Taylor and Francis Ltd., 2021)In this study, we proved the simplicity of eigenvalues and obtained asymptotic formulas for eigenvalues and eigenfunctions of second order non-local boundary-value problems with retarded argument. © 2021 Informa UK Limited, ... -
Computation of eigenvalues and eigenfunctions of a Schrodinger-type boundary-value-transmission problem with retarded argument
Şen, Erdoğan (Wiley, 2018)The purpose of this study is to investigate a Schrodinger type of boundary-value-transmission problem with retarded argument. By modifying some techniques of [S.B. Norkin, Differential equations of the second order with ... -
Computation of eigenvalues and fundamental solutions of a fourth-order boundary value problem
Şen, Erdoğan; Aracı, Serkan (2012)In this work, we study a fourth-order boundary value problem problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point. A self-adjoint linear operator A is defined in a ... -
Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument
Şen, Erdoğan (2018)In this study, a formula for regularized sums of eigenvalues and nodalpoints of eigenfunctions for a discontinuous Sturm-Liouville problem with aconstant retarded argument. Contrary to standart problems the spectralparameter ... -
Discontinuous two-point boundary value problems with eigenparameter in the boundary conditions
In the present paper, we deal with discontinuous two-point boundary value problems with eigenparameter in the boundary conditions with transmission conditions at the three points of discontinuities. We obtain asymptotic ... -
Existence and multiplicity of positive solutions for boundary-value problems of non-linear fractional differential equations
Aracı, Serkan; Şen, Erdoğan (Jangjeon Mathematical Society, 2014)The positive solutions under particular boundary circumstances arising from non-linear fractional differential equations were recently constructed [S. Zhang, Positive. Solutions for boundary-value problems of nonlinear ...