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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.

MSC:

34A37 Ordinary differential equations with impulses
34D09 Dichotomy, trichotomy of solutions to ordinary differential equations
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