Browsing by Author "Sahiner, Y."

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Citation - WoS: 111
Citation - Scopus: 123
Oscillation of Second-Order Delay Differential Equations on Time Scales
(Pergamon-elsevier Science Ltd, 2005) Sahiner, Y.; 01. Atılım University
By means of Riccati transformation technique, we establish some new oscillation criteria for a second-order delay differential equation on time scales in terms of the coefficients. (C) 2005 Elsevier Ltd. All rights reserved.
Citation - WoS: 18
Oscillation of Second-Order Neutral Delay and Mixed-Type Dynamic Equations on Time Scales
(Hindawi Publishing Corporation, 2006) Sahiner, Y.; 01. Atılım University
We consider the equation (r(t)(y(Delta)(t))(gamma))(Delta) + f (t, x(delta(t))) = 0, t is an element of T, where y(t) = x(t) + p(t) x(t(t)) and. is a quotient of positive odd integers. We present some sufficient conditions for neutral delay and mixed-type dynamic equations to be oscillatory, depending on deviating arguments tau(t) and delta(t), t is an element of T. Copyright (c) 2006 Y. Sahiner.
Citation - WoS: 26
Citation - Scopus: 30
Oscillations of First Order Delay Dynamic Equations
(Dynamic Publishers, inc, 2006) Sahiner, Y.; Stavroulakis, I. P.; 01. Atılım University
Consider the first order linear delay dynamic equation of the forms x(Delta)(t) + p(t)x(tau(t)) = 0. (E) New oscillation criteria are established which contain well-known criteria for delay differential and difference equations as special cases. Illustrative examples are given to show that the results obtained essentially improve known oscillation results for Eq. (E).