非线性广义变延迟方程稳定性分析

摘要

This paper deals with nonlinear stability analysis of both analytical solutions and numerical approximations to nonlinear systems of generalized delay differential equations with variable delay terms.First,a sufficient condition for the asymptotical stability of the theoretical solution is discussed.Then,we investigate the GAR (l)-numerical stability of Runge-Kutta methods for systems of generalized delay differential equations with a variable lag,numerical test confirms our theoretical results.%主要讨论了非线性广义变延迟方程的稳定性.首先讨论了基于模型方程理论解渐近稳定的条件,其次研究了Runge-Kutta方法求解方程数值解的GAR(l)-稳定性,最后的数值算例验证了理论结果的正确性.