An improved oscillation result for advanced differential equations

In this paper we study the advanced differential equations of the form x′(t)−q(t)xσ(t)=0,t≥t0,where q is a function of nonnegative real numbers and σ is a function of positive real numbers such that σ(t)>t, for all t≥t0. Based on a recursive sequence we have constructed, we improve the well known oscillation condition lim supt→∞∫tσ(t)q(s)ds>1 by lim supt→∞∫tσ(t)q(s)ds≥1.An example illustrating our results is also given.