Oscillation criteria for differential equations of second order

Abstract

In this article, we give sufficient condition in the form of integral inequalities to establish the oscillatory nature of non linear homogeneous differential equations of the form (r(t)y′) + q(t)y′ + p(t)f(y)g(y′) = 0, t ≥t0, where r, q, p, f and g are given data. We do this by separating the two cases f is monotonous and non monotonous. © 2009 Versita Warsaw and Springer-Verlag Berlin Heidelberg.