PRORERTIES OF SOLUTION SET OF CAUCHY PROBLEM FOR CONTROLLED DIFFERENTIAL INCLUSION WITH DELAY ARGUMENT

Otakulov Salim; Kholiyarova Feruza Khafizovna

doi:10.5281/zenodo.10719171

PRORERTIES OF SOLUTION SET OF CAUCHY PROBLEM FOR CONTROLLED DIFFERENTIAL INCLUSION WITH DELAY ARGUMENT

27.02.2024 International Scientific Journal "Science and Innovation". Series A. Volume 3 Issue 2

Otakulov Salim, Kholiyarova Feruza Khafizovna

Abstract. In this paper we consider the controlled differential inclusion with a delay argument. For such models of dynamical systems, the Cauchy problem is studied. Some properties of the set of solutions and the ensemble of trajectories of the considered class of differential inclusions are studied. Conditions for continuous dependence and convexity of multivalued mappings related to the studied properties of solution of differential inclusions are obtained

Keywords: differential inclusion, delay argument, Cauchy problem, solution set, ensemble of trajectories, continuous dependence, convexity

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