五阶非线性微分方程解的稳定性和有界性

ON THE STABILITY AND BOUNDEDNESS OF SOLUTIONS OF SOME DIFFERENTIAL EQUATIONS OF THE FIFTH ORDER

本文分两种情形研究方程(1.1):(ⅰ)p(t)≡0,(ⅱ)p(t)有界。对情形(ⅰ)建立了零解的全局渐近稳定性准则,对情形(ⅱ)得到了解的有界性结果。我们的结果改进和推广了一些最近的结果。

The paper studies the equation (1.1) in two cases: (ⅰ)p(t)≡0, (ⅱ)p(t) is bounded In case (ⅰ) the asymptotic stability in the large of the solution x=0 is established, in case (ⅱ)a boundedness result is deduced for solution of(1.1). Our rusults improve and extend some recent results.