摘要
利用Lyapunov泛函方法 ,讨论了一类二阶非线性泛函微分方程x″(t) +φ(x′(t) ,t) +f(x(t-r(t) ) ) =0解的渐近稳定性 ,基于｜x′(t) ｜积分的下半有界性 ,得到关于x′(t)的主要引理 ,改进了 φ(x′(t) ,t) /x′(t)积分上界、下界的条件 ,得到了一些新结果 ,推广了方程在线性、非线性、常时滞。
By using the method of Lyapunov functional, the asymptotic stability of a class of nonlinear second order functional differential equation x″(t)+φ(x′(t),t)+f(x(t-r(t))) =0 is studied. Based on the lower boundness of the integral of |x′(t)|, a main lemma about x′(t) is obtained. The lower and upper bound of the ingegrals of φ(x′(t), t)/x′(t) are improved. Some new results are obtained. Some related results about the equation of linear, nonlinear, constant delay are generalized.
出处
《江苏理工大学学报（自然科学版）》
2001年第1期89-91,共3页
Journal of Jiangsu University of Science and Technology(Natural Science)
基金
江苏理工大学青年基金
