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Toplam kayıt 28, listelenen: 11-20
On a Discontinuous Sturm - Liouville Type Problem with Retarded Argument
(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 ...
A Note on Second Order Differential Equation with Retarded Argument
(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 class of sturm-liouville operators with eigenparameter dependent boundary and transmission conditions
(2013)
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
(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. ...
On a p-ADIC interpolating function for the generalized genocchi numbers and its behaviour at s = 0
(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 ...
Identities involving some new special polynomials arising from the applications of fractional calculus
(Natural Sciences Publishing Co., 2015)
Inspired by a number of recent investigations, we introduce the new analogues of the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials, the Apostol-Genocchi polynomials based on Mittag-Leffler function. Making ...
The regularized trace formula for a differential operator with unbounded operator coefficient
(Jangjeon Mathematical Society, 2015)
In 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 ...
Theorems on Apostol-Euler polynomials of higher order arising from Euler basis
(2013)
Recently, Kim et al have introduced an useful method to get interesting identities related to Bernoulli and Euler polynomials arising from Euler polynomials of higher order (see [16]). Araci et al [7] also obtained many ...
Spectral Properties of Discontinuous Sturm-Liouville Problems with a Finite Number of Transmission Conditions
(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 ...
A regularized trace formula and oscillation of eigenfunctions of a Sturm-Liouville operator with retarded argument at 2 points of discontinuity
(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. ...