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Toplam kayıt 52, listelenen: 21-30
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. ...
A Class of Generating Functions for a New Generalization of Eulerian Polynomials with their Interpolation Functions
(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 ...
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 ...
On spectral properties of a fourth-order boundary value problem
(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 ...
Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument
(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 ...
On the extended Kim's p-adic q-deformed fermionic integrals in the p-adic integer ring
(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 ...