Asymptotical stability of Runge-Kutta methods for advanced linear impulsive differential equations with piecewise constant arguments

作者：Zhang, G. L.^*; Song, M. H.

来源：Applied Mathematics and Computation, 2015, 259: 831-837.

DOI：10.1016/j.amc.2015.02.086

• Impulsive differential equations
• Piecewise constant arguments
• Runge-Kutta methods
• Asymptotical stability
• Pade approximation

This paper is concerned with a class of advanced linear impulsive differential equations with piecewise continuous argument. The sufficient and necessary condition for asymptotical stability of the exact solution is obtained. Under this condition, asymptotical stability of Runge-Kutta methods for this kind of equations is studied. Some numerical examples are given to confirm the theoretical results.

• 出版日期2015-5-15
• 单位哈尔滨工业大学; 东北大学