IMCS/Publications/BASM/Issues/BASM n.1 (26), 1998/

Poisson stability of mappings with respect to a semigroup. (English)

Authors: Gerko A. I.


Within the framework of some abstract semigroup dynamic systems of shifts with not necessary locally compact phase semigroups the theory of Poisson stability of mappings is developed. For the correspondences analogs of the theorems about inheritance by the solutions of a differential equation of properties of the right-hand side of the equation are proved. For the correspondences with memory an analog of the theorems about the existence of almost periodic solutions under perturbations of the right-hand side of the equation is proved.

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