[PDF] Top 20 Oscillation theorems for second order nonlinear neutral difference equations

... comparison theorems for investigation of the os- cillation of equation ...the oscillation of the second order neutral difference equations to a study of the oscillation ... 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

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

... type equations arise in a number of important applications in natural sciences and technology; see [7, ...the oscillation of such type of ...many oscillation results are available for the 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 great ... See full document

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

... The theory of time scales was introduced by Hilger [1] in order to unify, extend and generalize ideas from discrete calculus, quantum calculus and continuous calculus to arbitrary time scale calculus. The books on ... See full document

... the oscillation constant. Other results on the oscillation constant for difference equations can be found in [–] and the references cited ... See full document

... In this paper, we investigate the asymptotical behavior for a partial sum sequence of independent random variables, and we derive a law of the iterated logarithm type. It is worth to point out that the partial sum ... See full document

... S.enel, Oscillation theorems for the second order damped nonlinear dynamic equation on time scales, Contemp. Zhang, Oscillation of second-order half-linear delay dynamic equations with d[r] ... 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

... of second-order nonlinear neutral delay dynamic equations with nonpositive neutral ...noncanonical neutral differential equations. New oscillation criteria ... See full document

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

... In this paper, we shall investigate some oscillation criteria for the solutions of mth-order nonlinear neutral difference equation where m ≥ 1. The results presented here complement some of the ... 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

... forward difference operator defined by ∆x(n) = x(n + 1) − x(n), γ > 0 is a quotient of odd positive integers, {p(n)} is a positive real sequence, {q(n)} and {h(n)} are nonnegative real sequences, τ and σ are ... See full document

... new oscillation criteria for nonlinear second order difference equations with mixed neutral ...first order equations whose oscillatory behaviors are already ...of ... 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

... of second order nonlinear difference equations, see [1, 2, 10, 12] and the references contained ...the oscillation of ... See full document