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Öğe A regularized trace formula for a discontinuous sturm-liouville operator with delayed argument(Texas State Univ, 2017) Bayramoğlu, Mehmet; Bayramov, Azad; Şen, ErdoğanIn 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.Öğe Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem(Wiley-Blackwell, 2013) Şen, Erdoğan; Bayramov, AzadIn 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 for the eigenvalues and eigenfunctions. Copyright (c) 2012 John Wiley & Sons, Ltd.Öğe Calculation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument which contains a spectral parameter in the boundary condition(Pergamon-Elsevier Science Ltd, 2011) Şen, Erdoğan; Bayramov, AzadIn 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 obtained asymptotic formulas for the eigenvalues and eigenfunctions. (C) 2011 Elsevier Ltd. All rights reserved.Öğe On a Discontinuous Sturm - Liouville Type Problem with Retarded Argument(Amer Inst Physics, 2011) Şen, Erdoğan; Bayramov, AzadIn 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 obtained asymptotic formulas for the eigenvalues and eigenfunctions.Öğe On a Sturm-Liouville type problem with retarded argument(Wiley, 2013) Bayramov, Azad; Şen, ErdoğanIn 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 asymptotic formulas for the eigenvalues and eigenfunctions. Copyright (c) 2012 John Wiley & Sons, Ltd.Öğe On calculation of eigenvalues and eigenfunctions of a Sturm-Liouville type problem with retarded argument which contains a spectral parameter in the boundary condition(Springer International Publishing Ag, 2011) Şen, Erdoğan; Bayramov, AzadIn 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 obtained asymptotic formulas for the eigenvalues and eigenfunctions.Öğe On the degree of approximation of function belonging to the Lipschitz class by (C,2)(E,1)(2010) Albayrak, I.; Köklü, Kevser; Bayramov, AzadIn this paper, we obtained a theorem on the degree of approximation of functions belonging to the Lipschitz class by (C,2)(E,1) product means of its Fourier series.Öğe Regularized trace formula for higher order differential operators with unbounded coefficients(Texas State University - San Marcos, 2016) Şen, Erdoğan; Bayramov, Azad; Oruçoğlu, KamilIn this work we obtain the regularized trace formula for an even-order differential operator with unbounded operator coefficient. © 2016 Texas State University.Öğe Spectral Analysis of Boundary Value Problems with Retarded Argument(Ankara Univ, Fac Sci, 2017) Şen, Erdoğan; Bayramov, AzadIn 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 own approaches we find asymptotic formulas for the eigenvalues and eigenfunctions of boundary value problems of Sturm-Liouville type for the second order differential equation with retarded argument.Öğe The regularized trace formula for a differential operator with unbounded operator coefficient(Jangjeon Mathematical Society, 2015) Şen, Erdoğan; Bayramov, Azad; Oruçoğlu, KamilIn this paper, firstly we investigated the spectrum and resolvent operator of a Sturm-Liouville type differential operator. Finally we have obtained the regularized trace formula for differential operator equation with unbounded operator coefficient.Öğe The second regularized trace of differential operator equation with the semi-periodic boundary conditions(Wiley-Blackwell, 2012) Bayramov, Azad; Çalışkan, Seda Kızılbudak; Akgün, Fatma A.In this paper, we have obtained the second regularized trace formula for the differential operator equation with the semi-periodic boundary conditions. Copyright (C) 2012 John Wiley & Sons, Ltd.
