Kurum Yazarı "Özen, Kemal" WoS İndeksli Yayınlar Koleksiyonu İçin 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 ... -
Construction of Green's functional for a third order ordinary differential equation with general nonlocal conditions and variable principal coefficient
Özen, Kemal (Walter De Gruyter Gmbh, 2020)In this work, the solvability of a generally nonlocal problem is investigated for a third order linear ordinary differential equation with variable principal coefficient. A novel adjoint problem and Green's functional are ... -
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 A Higher Order Ordinary Integro-Differential Equation With Nonlocal Conditions
Özen, Kemal (Amer Inst Physics, 2016)One of the little-known techniques for ordinary integro-differential equations in literature is Green's functional method, the origin of which dates back to Azerbaijani scientist Seyidali S. Akhiev. According to this method, ... -
Green's Functional for Higher-Order Ordinary Differential Equations with General Nonlocal Conditions and Variable Principal Coefficient
Özen, Kemal (Springer, 2019)The method of Green's functional is a little-known technique for the construction of fundamental solutions to linear ordinary differential equations (ODE) with nonlocal conditions. We apply this technique to a higher-order ... -
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 ... -
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 ... -
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 ... -
Solvability of A Nonlocal Problem By A Novel Concept of Fundamental Function
Özen, Kemal (Georgian Natl Acad Sciences, 2018)Cauchy function, Green function and Riemann function are the several of the fundamental functions used frequently in the expression of a fundamental solution in the literature. In order to construct such functions, various ...