一类二阶非线性微分方程解的有界性和渐近稳定性

THE BOUNDEDNESS AND ASYMPTOTIC STABILITY OF THE SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS OF THE SECOND ORDER

摘要: 本文给出了方程 (a(t)x′)′+h(t,x,x′)x′+q(t)f(x)g(x′)=e(t,x,x′)的解的有界性和渐近稳定性的充分条件,所得结果改进和包含了一些已知的结果。

Abstract: Gires a group of sufficient Conditions for the boundedness and aaymptotic stability of solutions of the differential equation.The result obtained improves some available Conclusions and includes them as its special cases