[PDF] Top 20 Oscillation and non oscillation of some neutral differential equations of odd order

... and KUSANO, T., Oscillation theory of higher order linear functional differential equations of neutral type, Hiroshima Math.. and ZHANG, B.G., Oscillation Theory of Differential Equation[r] ... See full document

... of neutral impulsive differential equations is gradually occupying a central place among the theories of oscillations of impulsive differential ...that neutral impulsive ... See full document

... Remark . We establish two classes of oscillation criteria for (.) without requiring the restrictive conditions (.). Note that these results are based on the assumption (.) and, as fairly noticed by one of ... See full document

... In 8 , by employing a class of function H ∈ H and a generalized Riccati transformation technique, Rogovchenko and Tuncay studied the oscillation of 1.10. Let D {t, s : −∞ < s ≤ t < ∞}. Say a continuous ... 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 neutral ... See full document

... In recent years, there has been much research activity concerning the oscillatory and nonoscillatory behavior of solutions to various classes of differential, difference, and dy- namic equations. We refer the reader ... See full document

... ON OSCILLATION CRITERIA FOR LINEAR AND NON-LINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS’’ contains four chapters it is meant to study the basic concept and various interesting result on ... See full document

... of odd positive integers, {p(n)} is a positive real sequence, {q(n)} and {h(n)} are nonnegative real sequences, τ and σ are fixed nonnegative integers; f (n, x) and g(n, x, y) are defined for all n ∈ N = {0, 1, 2, ... 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, 27, 28, ... See full document

... t, and τ is periodic and continuous with respect to t for each fixed s. In certain special cases, the results obtained generalize and improve some existing ones in the literature. Copyright © 2007 R. S. Dahiya and ... See full document

... of oscillation of solutions to a class of second-order half-linear neutral differential equations with delayed ...New oscillation criteria are established, and they essentially improve ... See full document

... of some even order differential equations have been studied by many ...even order neutral differential eq- uations with deviating arguments of the form ... See full document

... questions related to the existence of oscillatory solutions play an important role. During the past few years, there has been constant interest in obtaining sufficient conditions for oscillatory and nonoscillatory ... See full document

... that was compared with the oscillation of certain first order differential equation. On the other hand, there are comparatively less methods established for the advanced differential equations. The aim ... See full document

... φt, t, l 0, φt, l, l 0, and φt, s, l > 0, for l < s < t, and has the partial derivative ∂φ/∂s on E such that ∂φ/∂s is locally integrable with respect to s in E. By choosing the special function φ, it is possible ... See full document

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

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 184180, 9 pages doi 10 1155/2010/184180 Research Article Oscillation of Even Order Neutral Delay Differential Eq[.] ... 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 literature and can ... See full document

... 3.2. Neutral equations. In the previous section, we have stated some oscillation conditions for nonneutral equations, however, for neutral equations this phrase replaces ... See full document