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Representation of disperse dynamical and semidynamical systems on the straight line with the help of S-solutions of differential inclusions. (Russian) Zbl 0663.34045

In the paper is introduced a concept of an S-solution of a differential inclusion which is a refinement of the notion of an F-solution, previously defined by the author. Given a differential inclusion and a set of its S-solutions, the author gives necessary and sufficient conditions guaranteeing that S-solutions define dispersive dynamical or semidynamical system.
Reviewer: J.Siska

MSC:

37-XX Dynamical systems and ergodic theory
34A99 General theory for ordinary differential equations
34A60 Ordinary differential inclusions
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