[PDF] Top 20 Oscillation of Second Order Nonlinear Neutral Delay Differential Equations

... of differential equations with deviating ...the oscillation of differential equations ...the nonlinear neutral delay differential equation ... See full document

... differential equations has been the subject of intensive study; we refer to the articles 1–13 ; Especially, the study of the oscillation of neutral delay differential equations is of ... See full document

... Interval oscillation criteria are more natural in view of the Sturm comparison theory since it is stated on an interval rather than on infinite rays and hence it is necessary to establish more interval ... See full document

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

... the delay argument τ plays an important role in oscillation of second-order neutral delay dynamic equations; see the details in Example ... See full document

... We have two aims in this paper. The first aim is to remove the condition (1.5) in Theorem 1.1 and to demonstrate this with an example. The second goal is to extend the technique developed by Rogovchenko and Tuncay ... See full document

... linear delay dynamic equations by Agarwal, Bohner and Saker in 2005 [1] (7) and the nonlinear delay dynamic equations by Sahiner [2] (6), some sufficient conditions for ... See full document

... functional differential equations have been studied in recent ...functional differential equations received much less attention, which is due mainly to the technical difficulties arising in ... See full document

... the oscillation of the second order neutral difference equations to a study of the oscillation properties of various types of first order difference inequalities, which ... See full document

... the oscillation theory of second-order and higher-order neutral functional differential equations, in which the highest-order derivative of the unknown function is ... See full document

... of neutral delay differential equations presents com- plications and the results which are true for neutral differential equations may not be true for nonneutral differential ...of ... See full document

... This paper is concerned with oscillation and asymptotic behavior of a second-order neutral delay dynamic equation on an arbitrary time scale. We obtain two theorems which guarantee that ... See full document

... the oscillation and nonoscillation of solutions of various equations on time scales, and we refer the reader to Bohner and Saker 5 , Erbe 6 , and Hassan 7 ...the oscillation of the solutions of ... See full document

... Remark . In this paper, we establish some new oscillation theorems for (.) in the case where p is finite or infinite on I. The criteria obtained extend the results in [] and improve those reported in []. ... See full document

... that oscillation theory of second order neutral differential equations with impulses is still at its ...the oscillation of a second-order linear ... See full document

... By using Riccati transformation technique, we established sufficient conditions which insure that solution of class of third order neutral delay differential equation is oscillatory or tends ... See full document

... We obtain several oscillation criteria for a class of second-order nonlinear neutral differential equations. New theorems extend a number of related results reported in the ... See full document

... On the Oscillation of Second-Order Nonlinear Neutral Delay Dynamic Equations on Time Scales Quanxin Zhang, Xia Song, Li Gao Department of Mathematics, Binzhou University, Shandong, China[r] ... See full document

... that second order neutral functional differential equations have applications in problems dealing with vibrating masses attached to an elastic bar and in some variational ...of ... See full document

... BG: Oscillation Theory for Functional Differential ...BS: Oscillation of nonlinear second order neutral delay differential ...G: Oscillation Theory of Delay ... See full document