摘要
研究二阶非线性滞后型微分方程x。(t)+P[x(。t)]+Q[x(。t)]R[x(t-r)]=f(t)通过Lyaponov方法给出了ω-周期解的存在性定理和时滞范围的简明表达式,推广了一些原有结果.
The second order nonlinear retarded differential equation x^..（t）＋P[x^.（t）]＋Q[x^.（t）]R[x（t-r）]=f（t） is considered. A theorem on existence of ω-periodic solutions is given by means of the Lyapunov＇s method. A brief expression about the bound of time-delay is obtained. This obtained result generalizes some known results.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第16期203-205,共3页
Mathematics in Practice and Theory
基金
甘肃省教育厅科研项目(0613-02)
关键词
滞后型微分方程
周期解
存在性
retarded differential equation
periodic solution
existence
