On the Asymptotic Behavior of the Solutions of Some Third and Fourth Order Non-Autonomous Differential Equations

Abstract

where functions appeared in the equations are real valued. The dots indicate differentiation with respect to t and all solutions considered are assumed to be real. The problem is to give conditions to ensure that all solutions of (1.1), (1.2), (1.3) and (1.4) tend to zero as t— >oo. This problem has received a considerable amount of attention during the past twenty years, particulary when equations are autonomous. Many of these results are summarized in