On quasi stability for impulse differential systems. (English) Zbl 0688.34032

The stability notions of a given solution of an impulsive differential system cannot be transferred to the stability notions of the trivial solution by change of variables because of the fact that moments of impulsive effect of the given solution need not be the same as those of a neighbouring solution. Consequently, demanding that the difference of the given solution and a neighbouring one be small for all moments of time seems unnatural. The paper gives various notions of stability relative to a given solution and establishes some criteria for these properties.
Reviewer: L.Hatvani


34D20 Stability of solutions to ordinary differential equations
91B60 Trade models
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