On oscillation criteria for nonlinear differential equations of second order

Abstract EN

We present some sufficient conditions for all solutions of nonlinear ordinary differential equations of second order of the form {r(t)× (t)}* (g(x(t)), r(t) x(t)) = H(t,x(t)) to be oscillatory.

The obtained results complement and improve some known results in the literatures.

The relevance of our results is illustrated with a number of examples with its numerical solutions which were found by using Runge Kutta method of forth order