UNIQUE SOLVABILITY OF NUMERICAL METHODSFOR STIFF DELAY-INTEGRO-DIFFERENTIAL EQUATIONS

摘要

This paper deals with the unique solvability of numerical methods for stiff delay-integro-differential equa-tions (DIDEs). Several unique solvability conditions of the extended general linear methods for DIDEs are derived. The conclusions obtained are applied to some common numerical methods such as the extended linear multistep methods and the extended Runge-Kutta methods. In the end, concrete ex-amples illustrate the utility of the theory.