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Öğe Existence of nonoscillatory solutions for system of higher order neutral differential equations(PERGAMON-ELSEVIER SCIENCE LTD, 2013) Candan, T.In this article, we consider the existence of nonoscillatory solutions for the systems of higher order neutral differential equations. We use the Banach contraction principle to present new sufficient conditions for the existence of nonoscillatory solutions of these systems. (C) 2012 Elsevier Ltd. All rights reserved.Öğe Existence of nonoscillatory solutions for system of higher order neutral differential equations(2013) Candan, T.In this article, we consider the existence of nonoscillatory solutions for the systems of higher order neutral differential equations. We use the Banach contraction principle to present new sufficient conditions for the existence of nonoscillatory solutions of these systems. © 2012 Elsevier Ltd.Öğe Existence of Nonoscillatory Solutions for System of Higher Order Neutral Differential Equations with Distributed Delay(EUDOXUS PRESS, LLC, 2015) Candan, T.; Gecgel, A. M.This article contains some sufficient conditions for the existence of nonoscillatory solutions for the systems of higher order neutral differential equations. The Banach contraction principle is used to prove results and examples are given to illustrate applicability of results.Öğe Existence of nonoscillatory solutions of first and second order neutral differential equations with distributed deviating arguments(PERGAMON-ELSEVIER SCIENCE LTD, 2010) Candan, T.; Dahiya, R. S.In this paper, we consider the existence of nonoscillatory solutions of variable coefficient first and second-order linear neutral differential equations with distributed deviating arguments. We use the Banach contraction principle to obtain new sufficient conditions for the existence of nonoscillatory solution. (C) 2010 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.Öğe Existence of nonoscillatory solutions of first-order nonlinear neutral differential equations(PERGAMON-ELSEVIER SCIENCE LTD, 2013) Candan, T.In this article, we obtain sufficient conditions for first-order nonlinear neutral differential equations to have nonoscillatory solutions for different ranges of p(1)(t) and p(2)(t, xi). We use the Knaster-Tarski fixed point theorem to obtain new sufficient conditions. We give an example to illustrate the applicability of our results. (c) 2013 Elsevier Ltd. All rights reserved.Öğe Existence of Nonoscillatory Solutions of Higher Order Neutral Differential Equations(UNIV NIS, FAC SCI MATH, 2016) Candan, T.This article is concerned with nonoscillatory solutions of higher order nonlinear neutral differential equations with deviating and distributed deviating arguments. By using Knaster-Tarski fixed point theorem, new sufficient conditions are established. Illustrative example is given to show applicability of results.Öğe Existence of nonoscillatory solutions of higher order neutral differential equations with distributed deviating arguments(VERSITA, 2013) Candan, T.; Dahiya, R. S.In this work, we consider the existence of nonoscillatory solutions of variable coefficient higher order linear neutral differential equations with distributed deviating arguments. We use the Banach contraction principle to obtain new sufficient conditions, which are weaker than those known, for the existence of nonoscillatory solutions.Öğe Existence of positive periodic solutions of first order neutral differential equations with variable coefficients(PERGAMON-ELSEVIER SCIENCE LTD, 2016) Candan, T.This work deals with the existence of positive omega-periodic solutions for the first order neutral differential equation. The results are established using Krasnoselskii's fixed point theorem. An example is given to support the theory. (C) 2015 Elsevier Ltd. All rights reserved.Öğe Nonoscillatory solutions of higher order differential and delay differential equations with forcing term(PERGAMON-ELSEVIER SCIENCE LTD, 2015) Candan, T.In this article, we study the existence of nonoscillatory solutions of higher order differential and delay differential equations with forcing term. Some new sufficient conditions are given. We use the Schauder's fixed point theorem to prove our results. (C) 2014 Elsevier Ltd. All rights reserved.Öğe On the oscillation of certain mixed neutral equations(PERGAMON-ELSEVIER SCIENCE LTD, 2008) Candan, T.; Dahiya, R. S.Sufficient conditions are obtained for oscillatory behavior of solutions for certain nth-order neutral functional differential equations with distributed deviating arguments. The approach proposed in this work makes it possible to get different results. The results obtained are illustrated with examples. (c) 2007 Elsevier Ltd. All rights reserved.Öğe Oscillation behavior of solutions for even order neutral functional differential equations(SHANGHAI UNIV, 2006) Candan, T.Even order neutral functional differential equations are considered. Sufficient conditions for the oscillation behavior of solutions for this differential equation are presented. The new results are presented and some examples are also given.Öğe Oscillation criteria and asymptotic properties of solutions of third-order nonlinear neutral differential equations(WILEY-BLACKWELL, 2015) Candan, T.The main goal of this article is to study the asymptotic properties and oscillation of the third-order neutral differential equations with discrete and distributed delay. We give several theorems and related examples to illustrate the applicability of these theorems. Copyright (c) 2014 John Wiley & Sons, Ltd.Öğe Oscillation of first-order neutral differential equations with distributed deviating arguments(PERGAMON-ELSEVIER SCIENCE LTD, 2008) Candan, T.In this paper we shall consider first-order neutral differential equations with distributed deviating arguments. Some new sufficient conditions are presented for the oscillation of all solutions. (c) 2007 Elsevier Ltd. All rights reserved.Öğe Oscillation of second order nonlinear neutral differential equation(EUDOXUS PRESS, LLC, 2012) Senel, M. Tamer; Candan, T.In this article, we present some criteria for the oscillation of the second order nonlinear neutral differential equation (r(t)([(x(t)) + p(t)x(tau(t))]')(gamma))' + q(t)x(gamma)(sigma(t)) = 0. We use the oscillation results of. the first order equation to establish that of second order equation.Öğe Oscillation of second-order nonlinear neutral dynamic equations on time scales with distributed deviating arguments(PERGAMON-ELSEVIER SCIENCE LTD, 2011) Candan, T.This article is concerned with oscillation of second-order neutral dynamic equations with distributed deviating arguments of the form (r(t) ((y(t) + p(t)y(tau(t)))(Delta))(gamma)) + integral(d)(c) f(t, y(theta(t, xi))) Delta xi = 0, where gamma > 0 is a ratio of odd positive integers with r(t) and p(t) real-valued rd-continuous positive functions defined on T. We establish some new oscillation criteria and give sufficient conditions to insure that all solutions of nonlinear neutral dynamic equation are oscillatory on a time scale T. (C) 2011 Elsevier Ltd. All rights reserved.Öğe Oscillatory behavior of second order nonlinear neutral differential equations with distributed deviating arguments(ELSEVIER SCIENCE INC, 2015) Candan, T.In this article, we shall consider second order nonlinear neutral differential equation of certain type. Some oscillation criteria are established for second-order neutral differential equation of the form [r(t)z'(t)(gamma-1)z'(t)]' + integral(d)(c) f(t,x(sigma(t,xi)))d xi = 0 where z(t) = x(t) + integral(b)(a)p(t,xi)x(tau(t,xi))d xi. An example is given to show the applicability of our results.Öğe Positive solutions of first-order neutral differential equations(PERGAMON-ELSEVIER SCIENCE LTD, 2009) Candan, T.; Dahiya, R. S.This work contains positive solution of first-order neutral functional differential equations with distributed deviating arguments. Some sufficient conditions for the existence of positive solutions are obtained. We use the Banach contraction principle to prove our results. (C) 2009 Elsevier Ltd. All rights reserved.Öğe Retarded and mixed neutral functional differential equations with continuous delay(WATAM PRESS, 2007) Candan, T.; Dahiya, R. S.We obtain certain theorems to establish oscillation criteria for the arbitrary order neutral functional differential equation [r(t)[x(t) + integral(b)(a) p(t, mu)x(tau(t, mu))d mu](-1)]' + integral(d)(c) q(t, xi) f (x(sigma(t, xi))) d xi = 0.Öğe The existence of nonoscillatory solutions of higher order nonlinear neutral equations(PERGAMON-ELSEVIER SCIENCE LTD, 2012) Candan, T.In this work, we consider the existence of nonoscillatory solutions of variable coefficient higher order nonlinear neutral differential equations. Our results include as special cases some well-known results for linear and nonlinear equations of first, second and higher order. We use the Banach contraction principle to obtain new sufficient conditions for the existence of nonoscillatory solutions. (C) 2011 Elsevier Ltd. All rights reserved.
