ON THE BOUNDEDNESS AND STABILITY OF SOLUTIONS OF CERTAIN THIRDORDER NONLINEAR DIFFERENTIAL EQUATIONS

E.P. EBIENDELE

Abstract

The objective of this paper is to give sufficient conditions for the existence of bounded solutions that are globally exponentially stable, periodic and almost periodic for a certain third-order non-linear differential equation. A matrix inequality is obtained and proved to satisfy a generalized frequency domain inequality of [7] through the frequency domain technique.