Oscillation theorems for second order nonlinear forced differential equations

Oscillation Theorems for Second-Order Forced Neutral Nonlinear Differential Equations with Delayed Argument

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 Criteria for Nonlinear Delay Differential Equations of Second Order∗

We prove oscillation theorems for the nonlinear delay differential equation

Forced Oscillation of Second-order Nonlinear Dynamic Equations on Time Scales

In this paper, by defining a class of functions, we establish some oscillation criteria for the second order nonlinear dynamic equations with forced term x (t) + a(t)f(x(q(t))) = e(t) on a time scale T. Our results unify the oscillation of the second order forced differential equation and the second order forced difference equation. An example is considered to illustrate the main results.

Interval Oscillation of a Second Order Nonlinear Differential Equation with a Damping Term

Using generalized Riccati transformations, we derive new interval oscillation criteria for a class of second order nonlinear differential equations with damping. Our theorems prove to be efficient in many cases where known results fail to apply.