An improved oscillation results of first order nonlinear delay differential equation with several non-monotone arguments.

Abstract

In this paper we study the first order  non linear delay differential equation with several non-monotone arguments of the form

 for ,

where  the functions ,   for every m=1,2,...n  and are non-monotone or nondecreasing such that  for and , .  A new sufficient condition involving limit supremum which guarantees the oscillation of all solution is estabilished. An example illustrating the result is also given.