延迟积分微分方程多步RK方法的渐近稳定性

Asymptotic stability of MRK methods for system of delay integro-differential equations

基于延迟积分微分方程 (DIDEs)的理论解渐近稳定性的充要条件 ,运用求解常微分方程的具有A 稳定性的多步RK方法求解相应的DIDEs的渐近稳定性 .将有关文献的工作拓展到多步龙格 库塔 (RK)方法 ,并在其中讨论了对应的延迟微分方程 (DDEs)

This paper dealt with the iff conditions of the asymptotic stability of theoretical solutions for systems of delay integro differential equations (DIDEs). It was shown that MRK of A stability preserves the asymptotic stability of the system under some conditions if applied to DIDEs. Reference(3) gave the iff conditions of the asymptotic stability of RK methods. In view of this, we extended the above approaches to MRK methods for the system of DIDEs, and especially dealt with the asymptotic stability of MRK methods of corresponding DIDEs.