Stabilisation of second-order nonlinear equations with variable delay

Oscillation for second order nonlinear delay differential equations with impulses

In this paper , we investigate the oscillation of second order nonlinear delay differential equations with impulses of the form k k k k k k k r t x t p t x t Q t x t t t t t k n x t g x t x t h x t

Oscillation of Nonlinear Neutral Delay Differential Equations of Second Order

Oscillation criteria, extended Kamenev and Philos-type oscillation theorems for the nonlinear second order neutral delay differential equation with and without the forced term are given. These results extend and improve the well known results of Grammatikopoulos et. al., Graef et. al., Tanaka for the nonlinear neutral case and the recent results of Dzurina and Mihalikova for the neutral linear ...

Oscillation of Second-Order Mixed-Nonlinear Delay Dynamic Equations

Oscillation of second order nonlinear neutral delay difference equations

In this paper sufficient conditions are obtained for oscillation of all solutions of a class of nonlinear neutral delay difference equations of the form ∆(y(n) + p(n)y(n−m)) + q(n)G(y(n − k)) = 0 under various ranges of p(n). The nonlinear function G,G ∈ C(R,R) is either sublinear or superlinear. Mathematics Subject classification (2000): 39 A 10, 39 A 12

Oscillation Criteria for Nonlinear Delay Differential Equations of Second Order∗

We prove oscillation theorems for the nonlinear delay differential equation