An oscillation criterion in delay di_erential equations

Abstract EN

Consider the der linear delay di x0(t) + p(t)x t where p is a continuous function of nonnegative real numbers and the argument necessarily monotone.

Based on an iterative technique, a new oscillation criterion is established when the well-known oscillation conditions lim sup t!1 Z t p(s)ds > 1 and lim inf t!1 Z t p(s)ds >1eare not satis numerically solved in MATLAB, is also given to illustrates the applicability and strength of the obtained condition over known ones.