Oscillatory behavior of higher order nonlinear neutral forced differential equations with oscillating coefficients

In this paper, the higher order nonlinear neutral forced differential equations of the form where , n≥2 and m≥1, are studied. A new necessary and sufficient theorem for the oscillation of bounded solutions and a sufficient criterion for the existence of bounded positive solutions of the above equations are obtained for general p(t) and s(t). In particular, our results improve some known results.