摘要
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.
This paper deals with nonlinear stability analysis of both analytical solutions and numeri- cal approximations to nonlinear systems of generalized delay differential equations with variable delay terms. First, a sufficient condition for the asymptotieal stability of the theoretical solution is dis- cussed. 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 re- sults.
出处
《上海师范大学学报（自然科学版）》
2013年第3期221-226,共6页
Journal of Shanghai Normal University(Natural Sciences)
基金
Supported by Shanghai Municipal Education Commission(thc11013)
