Shadowing for nonautonomous and nonlinear dynamics with impulses. (English) Zbl 1507.34016
For a class of semilinear impulsive differential equations the authors establish constructively that in a vicinity of an approximate solution there exists an exact solution. Their approach is even valid without hyperbolicity in the linear part.
Reviewer: Christian Pötzsche (Klagenfurt)
MSC:
| 34A37 | Ordinary differential equations with impulses |
| 37C50 | Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics |
| 37C60 | Nonautonomous smooth dynamical systems |
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