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Toplam kayıt 12, listelenen: 1-10
A novel approach to construct the adjoint problem for a first-order functional integro-differential equation with general nonlocal condition
(Springer, 2014)
In this work, with the aim of determining Green's solution or generalized Green's solution, we propose a novel constructive approach by which a linear or specific nonlinear problem involving general linear nonlocal condition ...
A Representative Solution to m-Order Linear Ordinary Differential Equation with Non local Conditions by Green's Functional Concept
(Vilnius Gediminas Tech Univ, 2012)
In this work, we investigate a linear completely nonhomogeneous nonlocal multipoint problem for an m-order ordinary differential equation with generally variable nonsmooth coefficients satisfying some general properties ...
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 ...
Green's Functional for Second-Order Linear Differential Equation with Nonlocal Conditions
(Texas State Univ, 2012)
In this work, we present a new constructive technique which is based on Green's functional concept. According to this technique, a linear completely nonhomogeneous nonlocal problem for a second-order ordinary differential ...
Green's Functional Concept for A Nonlocal Problem
(Hacettepe Univ, Fac Sci, 2013)
In this work, by Green's functional concept, in order to obtain Green's solution we concentrate on a new constructive technique by which a linear completely nonhomogeneous nonlocal problem for a second-order loaded ...
Approximate Solution to a Multi-Point Boundary Value Problem Involving Nonlocal Integral Conditions by Reproducing Kernel Method
(Vilnius Gediminas Tech Univ, 2013)
In this work, we investigate a sequence of approximations converging to the existing unique solution of a multi-point boundary value problem (BVP) given by a linear fourth-order ordinary differential equation with variable ...