[PDF] Top 20 Oscillation results for second order nonlinear neutral differential equations

... new oscillation criteria for () were obtained [, Theorems ...the results obtained in [] to Emden-Fowler neutral differential equations and neutral differ- ential equations with ... See full document

... have been studied extensively in recent years, see e.g. [1-21] and the references quoted therein. Moreover, in 2011, Wang [22] established some oscillation criteria for Equation (1.1) firstly, some new sharper ... See full document

... If all solutions of Eq. (1.1) are oscillatory, then Eq. (1.1) is said to be oscillatory. Before given the main results, we note that the initial value problem which consists of Eq. (1.1) and the initial function ... See full document

... several oscillation results were established for different kinds of impulsive delay differential equations (see Agarwal and Karakoc ...interval oscillation of impulsive delay ... See full document

... new oscillation criteria for the equation (1.1). The obtained results simplifies the known results in the literature in the sense that we need only one condition instead of two conditions required in ... See full document

... Thandapani, Oscillatory and nonoscillatory behavior of second order neutral delay difference equations, Math.. Thandapani, Oscillatory and nonoscillatory behavior of second order neutral[r] ... See full document

... of equations with nonnegative neutral coefficients; see, ...for equations with nonpositive neutral coefficients, there are relatively fewer results in the literature; see [3, 4, 6, 11, 14, ... See full document

... Equations of this type arise in a number of important applications such as problems in population dynamics when maturation and gestation are included, in cobweb mod- els, in economics where demand depends on 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

... The purpose of this paper is to obtain a new sufficient condition for oscillation of (.). The result obtained is essentially new for equations (.)-(.). This paper is organized as follows. In Section , ... See full document

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

... associated equations have been studied by many authors with a number of important results of ...Philos-type oscillation criteria of Equation (1) in general ...Our results generalize, improve ... See full document

... A neutral delay differential equation is a differential equation in which the highest order derivative of the unknown function appears both with and without ...decades, oscillation of neutral ... See full document

... G t r , so each of the condition (2), (4), (5) and (6) has as many as l conditions. Meanwhile, the Riccati func- tion    t is not well-defined and there exist some small errors in the proof of the theorems. The ... See full document

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

... new oscillation criteria for Equation () and its special cases by using generalized Riccati transformation and well known ...The results obtained essentially generalize and improve some known ... See full document

... OSCILLATION THEOREMS FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS.. GRACE Department of Mathematics P.[r] ... See full document

... In what follows, we provide some background details regarding the study of oscillation of second-order differential equations which motivated our study. Oscillation criteria for (.) ... See full document

... of second-order nonlinear differential equations with ...several oscillation criteria are presented that improve the results obtained in the ... See full document

... The rest of the paper is organized as follows: Sect. 2 is devoted to the main results of the paper. We present our investigations in two folds for Eqs. (1) and (2). Meanwhile, a relevant result on the existence of ... See full document