Asymptotical stability of the exact solutions and the numerical solutions for a class of impulsive differential equations

作者：Zhang G L; Song Minghui^*; Liu M Z

来源：Applied Mathematics and Computation, 2015, 258: 12-21.

DOI：10.1016/j.amc.2015.01.115

• Impulsive delay differential equations
• Runge-Kutta method
• Stable
• Asymptotically stable

This paper is concerned with stability and asymptotical stability of a class of impulsive delay differential equations (IDDEs). Stability and asymptotical stability of the system of IDDEs are studied by the properties of delay differential equations (DDEs) without impulsive perturbations. Base on this idea, numerical methods of IDDEs are constructed. Stability and asymptotical stability of numerical methods of IDDEs are also studied by the properties of numerical methods of DDEs.

• 出版日期2015-5-1
• 单位东北大学; 哈尔滨工业大学