[PDF] Top 20 Oscillation criteria for third order neutral dynamic equations with continuously distributed delay

... new oscillation criteria and gave sufficient conditions to ensure that all solutions of nonlinear neutral dynamic equation are oscillatory on a time scale T ... See full document

... of dynamic equations on time-scales, which goes back to its founder Hilger 1 , is an area of mathematics that has recently received a lot of ...in order to unify the study of differential and ... See full document

... The theory of time scales, which has recently received a lot of attention, was introduced by Hilger in his Ph. D. thesis [1] in order to unify continuous and discrete analysis. A time scale T is an arbitrary ... See full document

... In recent years, there has been much research activity concerning the nonoscillation of solutions of various equations on time scales, and we refer the reader to [1–4]. Math- sen, Wang and Wu [5] established some ... See full document

... establish oscillation criteria of third-order nonlinear dynamic equations with nonpositive neutral coefficients on time scales by a generalized Riccati transformation and ... See full document

... Oscillation criteria are established for third-order neutral delay differential equations with deviating ...These criteria extend and generalize those results in ... See full document

... The natural question now is: Can one obtain new oscillation criteria for (.) that improve the results in [, , , , ]? The aim of this paper is to give an affirmative answer to this question. As a ... See full document

... Candan Advances in Difference Equations 2013, 2013 112 http //www advancesindifferenceequations com/content/2013/1/112 R ES EA RCH Open Access Oscillation criteria for second order nonlinear neutral d[.] ... See full document

... Abstract. The authors obtain some new results on the asymptotic proper- ties of solutions of a third order nonlinear neutral dynamic equation with dis- tributed deviating arguments on an ... See full document

... of oscillation of differential equation has been the subject of many papers [1– ...the oscillation theory of the nth-order equations with delay and advanced argument, see [4–12, 23, 25, ... See full document

... then every solution of equation (.) is either oscillatory or tends to zero eventually. Remark . If the assumption (.) is not satisfied, we have some sufficient conditions which ensure that every solution x(t) of (.) ... See full document

... In this paper, we consider oscillation criteria for certain third-order delay and advanced dynamic equations on unbounded time scales. A time scale T is a nonempty closed ... See full document

... The paper is organized as follows. In the next section, by developing a Riccati transformation technique some sufficient conditions for oscillation of all solutions of 1.1 on time scales are established. In Section ... See full document

... where γ > 0 is a quotient of odd positive integers, r t, qt are positive real valued rd- continuous functions on T, pt is a nonnegative real valued rd-continuous function on T and established sufficient conditions for ... See full document

... In Section 2, we present some preliminary lemmas and in Section 3, we establish some sufficient conditions which ensure that all solutions of equation (1.1) are either oscillatory or con[r] ... See full document

... Saker, Asymptotic Behavior of Solutions of a Third-Order Non-linear Dynamic Equation on Time Scales, Journal of Computational and Applied Mathematics 181, (2005) 92-102. Thandapani, O[r] ... See full document

... new oscillation criteria for the equations are established, results are presented that not only complement and improve those related results in the literature, but also improve some known results for ... See full document

... the oscillation of the third-order nonlinear neutral differential equations with damping and distributed ...The oscillation of the third-order damped ... See full document

... differential equations have been studied by several authors, and several techniques have been proposed for obtaining oscillatory criteria for higher- and fourth-order differential ... See full document

... Philos-type oscillation criteria for second order nonlinear neutral delay dynamic equations on time scales, ...Long, Oscillation criteria for quasi-linear ... See full document