ORCID "0000-0001-6603-2652" Araştırma Çıktıları | TR-Dizin | WoS | Scopus | PubMed için listeleme
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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 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 ... -
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 ... -
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 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 ... -
Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p-Laplacian operator
Araci, Serkan; Şen, Erdoğan; Açıkgöz, Mehmet; Srivastava, Hari M. (Springeropen, 2015)In this article, we investigate the existence of a solution arising from the following fractional q-difference boundary value problem by using the p-Laplacian operator: D-q(gamma)(phi(p)(D(q)(delta)y(t))) + f(t,y(t)) = 0 ... -
Existence and Uniqueness of Positive Solutions of Boundary-Value Problems for Fractional Differential Equations with p-Laplacian Operator and Identities on the Some Special Polynomials
Şen, Erdoğan; Açıkgöz, Mehmet; Seo, Jong Jin; Aracı, Serkan; Oruçoğlu, Kamil (Hindawi Ltd, 2013)We consider the following boundary- value problem of nonlinear fractional differential equation with p-Laplacian operator D-0+(beta)(phi(p)(D(0+)(alpha)u(t))) + a(t)f(u) = 0, 0 < t < 1, u(0) = gamma u(h) + lambda, u'(0) = ... -
A New Approach to Multivariate q-Euler Polynomials Using the Umbral Calculus
Araci, Serkan; Kong, Xiangxing; Açıkgöz, Mehmet; Şen, Erdoğan (Univ Waterloo, 2014)We derive numerous identities for multivariate q- Euler polynomials by using the umbral calculus. -
A Note on Second Order Differential Equation with Retarded Argument
Şen, Erdoğan (Amer Inst Physics, 2011)In the theory of differential equations with retarded argument many theorems are proved by using inequalities. In this work, an important inequality for second order differential equation with retarded argument is obtained ... -
A note on the modified q-Dedekind sums
Araci, Serkan; Şen, Erdoğan; Açıkgöz, Mehmet (Bulgarian Acad Science, 2013)In the present paper, the fundamental aim is to consider a p-adic continuous function for an odd prime to inside a p-adic q-analogue of the higher order Extended Dedekind-type sums related to q-Genocchi polynomials with ... -
On a Discontinuous Sturm - Liouville Type Problem with Retarded Argument
Şen, Erdoğan; Bayramov, Azad (Amer Inst Physics, 2011)In this work a discontinuous boundary-value problem with retarded argument which contains spectral parameters in the boundary conditions and with transmission conditions at the point of discontinuity are investigated. We ... -
On a p-ADIC interpolating function for the generalized genocchi numbers and its behaviour at s = 0
Araci, Serkan; Şen, Erdoğan (Charles Babbage Res Ctr, 2015)In this work, we consider the generalized Genocchi numbers and polynomials. However, we introduce analytic interpolating function for the generalized Genocchi numbers attached to chi at negative integers in complex plane ... -
On a Sturm-Liouville type problem with retarded argument
Bayramov, Azad; Şen, Erdoğan (Wiley, 2013)In this work, a SturmLiouville-type problem with retarded argument, which contains spectral parameter in the boundary conditions and with transmission conditions at the point of discontinuity are investigated. We obtained ... -
On calculation of eigenvalues and eigenfunctions of a Sturm-Liouville type problem with retarded argument which contains a spectral parameter in the boundary condition
Şen, Erdoğan; Bayramov, Azad (Springer International Publishing Ag, 2011)In this study, 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 ... -
On Quartic Transformational High Dimensional Model Representation
Şen, Erdoğan (Amer Inst Physics, 2011)This work focuses on the development of a multivariate function approximating method by using quartic Transformational High Dimensional Model Representation (THDMR). The method uses the target function's image under a ... -
On spectral properties of a fourth-order boundary value problem
Şen, Erdoğan (Elsevier Science Bv, 2013)In this work, we study a fourthorder boundary value problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point. A self-adjoint linear operator A is defined in a suitable Hilbert ...