[PDF] Top 20 An improved approach for studying oscillation of second order neutral delay differential equations

... The oscillation theory of differential equations with deviating arguments was initiated in a pioneering paper [2] of Fite, which appeared in the first quarter of the twentieth ...the oscillation of ... See full document

... in studying oscillation of solutions to different classes of differential equations due to the fact that they have numerous appli- cations in natural sciences and engineering; see, ...of ... See full document

... in studying the qualitative behavior of dynamic equations on time scales, see, for example, 1–3 and the references cited ...the oscillation and nonoscillation of solutions of ordinary and ... See full document

... of second order linear neutral differential equation with constant impulsive ...the delay function is non-decreasing, it is shown that all bounded solutions of the said neutral ... See full document

... ential equations, especially for the first-order or second-order ...the oscillation for the second-order equations, researchers began to study the oscillation ... See full document

... Most oscillation results reported in the literature for neutral differential equation () and its particular cases have been obtained under the assumption () which significantly sim- plifies the analysis of ... See full document

... The authors sincerely thank the reviewers for their valuable suggestions and useful comments that have led to the present improved version of the original manuscript. This research is supported by the Natural ... See full document

... The authors sincerely thank the reviewers for their valuable suggestions and useful comments that have led to the present improved version of the original manuscript. This research is supported by the Natural ... See full document

... differential equations find numerous applications in natural science and ...of neutral delay differential equations, and we refer to the recent papers 2–23 and the references cited ... See full document

... Professor, Department of Mathematics, Kakatiya Institute of Technology and Science, Yerragutta, Warangal, India 1 Professor, Department of Mathematics, Sridevi Women’s Engineering College, Gandipet, Hyderabad, India 2 ... See full document

... The objective of this paper is to study oscillation of a forced second-order neutral differential equation. By using the generalized Riccati substitution and integral technique, a new sufficient ... See full document

... with oscillation and nonoscillation of a kind of nonlinear neutral impulsive differential systems with constant coefficients and constant delays by using the pulsatile ...for oscillation in ... See full document

... Remark . In this paper, we present some new oscillation criteria for the differential equation with a linear damping term (.). Our theorems can be applied to the cases where p ≥ , p ≤ , or p is an oscillatory ... See full document

... It is clear that (1.5) and (1.6) are some special cases of (1.1). The results in [28]–[30] are very significant for the development of the qualitative theory of higher order nonlinear dynamic equations on ... See full document

... A time scale T is an arbitrary nonempty closed subset of the real numbers. The theory of time scales was introduced by Hilger [6] in his Ph.D. thesis in 1988 in order to unify continuous and discrete analysis. ... 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

... 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

... are investigated. Our newly proposed approach allows us to greatly reduce a number of conditions ensuring that all solutions of the studied equation oscillate. An example is also presented to test the strength and ... 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

... of second order differential equations [1] [2] difference equ- ations of the type (E) and/or related equations have been investigated by many authors, for example see, [3]-[19] and the ... See full document