ON THE INSTABILITY OF SOLUTIONS TO A CERTAIN CLASS OF NON-AUTONOMOUS AND NON-LINEAR ORDINARY VECTOR DIFFERENTIAL EQUATIONS OF SIXTH ORDER

Abstract

The aim of the present paper is to establish a new result, which guarantees the instability of zero solution to a certain class of non-autonomous ordinary differential equations of sixth order. Our result improves some known results in the literature for non- autonomous case (see, [20,Theorem 4], [31, Theorem 1]).