Bounded oscillations under the effect of retardations for differential equations of arbitrary order

Abstract

SynopsisThis paper is concerned with the effect of the delays on the bounded solutions of the nth order n ≧ 1) differential equationSufficient conditions involving the retardations τJ(j = 1,2, …, m) which insure that every bounded solution of the considered equation is oscillatory are given. The results obtained generalise recent ones in [3 and 4].