Oscillatory behavior of solutions of certain second order nonlinear differential equations

Abstract

In this paper some simple inequalities are used to offer sufficient conditions for the oscillation of all solutions of the differential equation [a(t)(y′(t))σ]′ + q(t)f(y(t)) = r(t), where 0 < σ = p/q with p, q odd integers, or p even and q odd integers. Several examples which dwell upon the importance of our results are also included. © 1996 Academic Press, Inc.