Yazar "Oruçoğlu, Kamil" için listeleme
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Approximate Solution to a Multi-Point Boundary Value Problem Involving Nonlocal Integral Conditions by Reproducing Kernel Method
Özen, Kemal; Oruçoğlu, Kamil (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 ... -
A class of sturm-liouville operators with eigenparameter dependent boundary and transmission conditions
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
Şen, Erdoğan; Mukhtarov, O.; Oruçoğlu, Kamil (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. ... -
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
Şen, Erdoğan; Açıkgöz, Mehmet; Seo, Jong Jin; Aracı, Serkan; Oruçoğlu, Kamil (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) = ... -
Green's Functional Concept for A Nonlocal Problem
Özen, Kemal; Oruçoğlu, Kamil (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 ... -
Green's Functional for Second-Order Linear Differential Equation with Nonlocal Conditions
Oruçoğlu, Kamil; Özen, Kemal (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 ... -
Identities involving some new special polynomials arising from the applications of fractional calculus
Aracı, Serkan; Şen, Erdoğan; Açıkgöz, Mehmet; Oruçoğlu, Kamil (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 ... -
Investigation of numerical solution for fourth-order nonlocal problem by the reproducing kernel method
Özen, Kemal; Oruçoğlu, Kamil (2011)This work investigates the approximate solution for fourth-order multi-point boundary value problem represented by linear integro-differential equation involving nonlocal integral boundary conditions by using the reproducing ... -
A novel approach to construct the adjoint problem for a first-order functional integro-differential equation with general nonlocal condition
Özen, Kemal; Oruçoğlu, Kamil (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 ... -
The regularized trace formula for a differential operator with unbounded operator coefficient
Şen, Erdoğan; Bayramov, Azad; Oruçoğlu, Kamil (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
Şen, Erdoğan; Bayramov, Azad; Oruçoğlu, Kamil (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. -
A Representative Solution to m-Order Linear Ordinary Differential Equation with Non local Conditions by Green's Functional Concept
Özen, Kemal; Oruçoğlu, Kamil (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 ...