Kurum Yazarı "Şen, Erdoğan" WoS İndeksli Yayınlar Koleksiyonu İçin Listeleme
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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 ... -
On the extended Kim's p-adic q-deformed fermionic integrals in the p-adic integer ring
Araci, Serkan; Açıkgöz, Mehmet; Şen, Erdoğan (Academic Press Inc Elsevier Science, 2013)The purpose of this paper is to derive some applications of umbral calculus by using extended fermionic p-adic q-integral on Z(p). From those applications, we derive some new interesting properties on the new family of ... -
On the von Staudt-Clausen's theorem associated with q-Genocchi numbers
Araci, Serkan; Açıkgöz, Mehmet; Şen, Erdoğan (Elsevier Science Inc, 2014)Recently, the von Staudt-Clausen's theorem for q-Euler numbers was introduced by Kim (2013) and q-Genocchi numbers were constructed by Araci et al. (2013). In this paper, we give the corresponding von Staudt-Clausen's ... -
A regularized trace formula and oscillation of eigenfunctions of a Sturm-Liouville operator with retarded argument at 2 points of discontinuity
Şen, Erdoğan (Wiley, 2017)In this study, first, a formula for regularized sums of eigenvalues of a Sturm-Liouville problem with retarded argument at 2 points of discontinuity which contains a spectral parameter in the boundary conditions is obtained. ... -
A regularized trace formula for a discontinuous sturm-liouville operator with delayed argument
Bayramoğlu, Mehmet; Bayramov, Azad; Şen, Erdoğan (Texas State Univ, 2017)In this study, we obtain a formula for the regularized sums of eigenvalues for a Sturm-Liouville problem with delayed argument at two points of discontinuity. -
Spectral Analysis of Boundary Value Problems with Retarded Argument
Şen, Erdoğan; Bayramov, Azad (Ankara Univ, Fac Sci, 2017)In this paper, by modifying some techniques of [S.B. Norkin, Differential equations of the second order with retarded argument, Translations of Mathematical Monographs, Vol. 31, AMS, Providence, RI, 1972] and suggesting ... -
Spectral Analysis of Discontinuous Boundary-Value Problems with Retarded Argument
Şen, Erdoğan (B Verkin Inst Low Temperature Physics & Engineering, 2018)In the paper, we are concerned with spectral properties of discontinuous Sturm-Liouville type problems with retarded argument. We extend and generalize some approaches and results of the classical regular and discontinuous ... -
Spectral Problem for the Sturm-Liouville Operator with Retarded Argument Containing a Spectral Parameter in the Boundary Condition
Şen, Erdoğan; Açıkgöz, Mehmet; Aracı, Serkan (Springer, 2017)We consider a discontinuous Sturm-Liouville problem with retarded argument containing a spectral parameter in the boundary condition. First, we investigate the simplicity of eigenvalues and then prove the existence theorem. ... -
Spectral properties of boundary-value-transmission problems with a constant retarded argument
Şen, Erdoğan (TUBITAK, 2019)In this work, spectra and asymptotics of eigenfunctions of a generalized class of boundary value problems with constant retarded argument are obtained. Contrary to previous works in the literature, the problem has nonclassical ... -
Spectral Properties of Discontinuous Sturm-Liouville Problems with a Finite Number of Transmission Conditions
Şen, Erdoğan; Mukhtarov, O. (Springer Basel Ag, 2016)In this paper we investigate discontinuous two-point boundary value problems with eigenparameter in the boundary conditions and with transmission conditions at the finitely many points of discontinuity. A self-adjoint ... -
Spectrum, trace and nodal points of a sturm-liouville type delayed differential operator with interface conditions
Şen, Erdoğan (Rocky Mountain Mathematics Consortium, 2021)A formula for regularized sums of eigenvalues of a Sturm–Liouville problem with delayed argument at the point of discontinuity is obtained. Moreover, nodal points of the related problem are investigated. © Rocky Mountain ... -
Sturm-Liouville Problems with Retarded Argument and A Finite Number of Transmission Conditions
Şen, Erdoğan (Texas State Univ, 2017)The main goal of the present paper is to study the asymptotic behaviour of eigenvalues and eigenfunctions of a discontinuous boundary-value problem with retarded argument with a finite number of transmission conditions. -
Theorems on Genocchi Polynomials of Higher Order Arising From Genocchi Basis
Araci, Serkan; Şen, Erdoğan; Açıkgöz, Mehmet (Mathematical Soc Rep China, 2014)Recently, Kim et al. [8] constructed a new method to obtain interesting identities related to Euler polynomials of higher order arising from Euler basis. In the present paper, we study to Genocchi polynomials of higher ... -
Traces and inverse nodal problems for a class of delay Sturm-Liouville operators
Şen, Erdoğan (TUBITAK, 2021)In this study, we investigate the regularized sums of eigenvalues, oscillation of eigenfunctions and solutions of inverse nodal problems of discontinuous Sturm–Liouville operators with a delayed argument and with a finite ... -
Transmission problem for the sturm-liouville equation involving a retarded argument
Şen, Erdoğan (University of Nis, 2021)In this work, spectral properties of a discontinuous boundary-value problem with retarded argument which contains a spectral parameter in the boundary conditions and in the transmission conditions at the point of discontinuity ...