by Institution Author "Candan, Tuncay"
Now showing items 1-6 of 6
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Asymptotic properties of solutions of third-order nonlinear neutral dynamic equations
Candan, Tuncay (SPRINGER INTERNATIONAL PUBLISHING AG, 2014)The purpose of this article is to give oscillation criteria for the third-order neutral dynamic equation (r(2)(t)[(r(1)(t)[y(t) + p(t)y(tau (t))](Delta))(Delta)](gamma))(Delta) + f (t, y(delta(t))) = 0, where gamma >= 1 ... -
EXISTENCE OF NON-OSCILLATORY SOLUTIONS TO FIRST-ORDER NEUTRAL DIFFERENTIAL EQUATIONS
Candan, Tuncay (TEXAS STATE UNIV, 2016)This article presents sufficient conditions for the existence of non oscillatory solutions to first-order differential equations having both delay and advance terms, known as mixed equations. Our main tool is the Banach ... -
Existence of positive periodic solutions of first-order neutral differential equations
Candan, Tuncay (WILEY-BLACKWELL, 2017)This paper presents the existence of positive periodic solutions for first-order neutral differential equation with distributed deviating arguments. We apply Krasnoselskii's fixed point theorem to obtain our results. An ... -
Existence of positive solutions of higher-order nonlinear neutral equations
Candan, Tuncay (SPRINGER INTERNATIONAL PUBLISHING AG, 2013)In this work, we consider the existence of positive solutions of higher-order nonlinear neutral differential equations. In the special case, our results include some well-known results. In order to obtain new sufficient ... -
Oscillation criteria for second-order nonlinear neutral dynamic equations with distributed deviating arguments on time scales
Candan, Tuncay (SPRINGER INTERNATIONAL PUBLISHING AG, 2013)In this article, we establish some new oscillation criteria and give sufficient conditions to ensure that all solutions of nonlinear neutral dynamic equation of the form (r(t)((y(t) + p(t)y(tau(t)))(Delta))(gamma))(Delta) ... -
OSCILLATION OF SOLUTIONS FOR ODD-ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Candan, Tuncay (TEXAS STATE UNIV, 2010)In this article, we establish oscillation criteria for all solutions to the neutral differential equations [x(t) +/- ax(t +/- h) +/- bx(t +/- g)]((n)) = p integral(d)(c) x(t - xi)d xi + q integral(d)(c) x(t + xi) d xi, ...
