Dynamics analysis of the set of trajectories on a product of convex compacts

1Martynyuk, AA, 1Chernetskaya, LM, 1Martynyuk-Chernienko, Yu.A
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2016, 9:44-50
Section: Mechanics
Language: Russian

For a set of differential equations with Hukuhara derivative defined on a product of nonempty convex and compact spaces, the comparison principle and sufficient conditions of stability of a stationary motion are established. We use the vector Lyapunov-like function of a special structure.

Keywords: comparison principle, equations with Hukuhara derivative, stability of the set of trajectories
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