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Toplam kayıt 6, listelenen: 1-6
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
(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 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. ...
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 ...
Regularized trace formula for higher order differential operators with unbounded coefficients
(Texas State University - San Marcos, 2016)
In this work we obtain the regularized trace formula for an even-order differential operator with unbounded operator coefficient. © 2016 Texas State University.