On a Hartman linearization theorem for a class of ODE with impulse effect. (English) Zbl 0931.34007
The well-known Hartman-Grobman theorem for ordinary differential equations is extended to a class of ordinary differential equations with impulse effect. The assumptions are an \((h,k)\)-dichotomy (which is more general than an exponential dichotomy) and an integrability-summability condition on the fundamental matrix of the associated linear system.
Reviewer: S.Siegmund (Augsburg)
MSC:
34A37 | Ordinary differential equations with impulses |
34D09 | Dichotomy, trichotomy of solutions to ordinary differential equations |