Some Stability and Boundedness Conditions for Non-Autonomous Differential Equations With Deviating Arguments

Abstract

In this article, the author studies the stability and boundedness of solutions for the non-autonomous third order differential equation with a deviating argument, where r > 0 is a constant. Sufficient conditions are obtained; a stability result in the literature is improved and extended to the preceding equation for the case, and a new boundedness result is also established for the case.