摘要
运用变异Liapunov方法 ,讨论了时滞微分方程依照两种测度的稳定性· 借助于中间测度h (t,x) ,在未扰动系统为常微分方程的情形下 ,得到了关于时滞微分方程非一致和一致稳定性的判定定理·
By using the variational Liapunov method, stability properties in terms of two measures for delay differential equations are discussed. In the case that the unperturbed systems are ordinary differential systems, employing auxiliary measure h *(t,x), criteria on nonuniform and uniform stability in terms of two measures for delay differential equations are established.
出处
《应用数学和力学》
EI
CSCD
北大核心
2002年第3期283-291,共9页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目 (198310 30 )