摘要
建立了三阶非线性微分方程…x+φ(x,x.,¨x)¨x+f(x,x.)=p(t,x,x.,¨x)的一切解有界和收敛到零的充分条件.
Sufficient conditions under which all solutions of the third-order nonlinear differential equation x^ - +φ(x ,x ,x^- )x^- + f (x ,x^-) =p (x ,x ,x^- ) are bounded and converge to zero as t →∞.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第20期188-192,共5页
Mathematics in Practice and Theory
关键词
非线性微分方程
李雅普诺夫函数
有界性
渐近性
Nonlinear differential equation
Lyapunov function
boundedness and asymptotic property