Guiding functions and periodic solutions for inclusions with causal multioperators |
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| Authors: | Sergei Kornev Valeri Obukhovskii |
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| Institution: | Faculty of Physics and Mathematics, Voronezh State Pedagogical University, Voronezh, Russia. |
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| Abstract: | In the present paper, the method of guiding functions is applied to study the periodic problem for a differential inclusion with a causal multioperator. At first we consider the case when the multioperator is closed and convex-valued. Then the case of a non-convex-valued and lower semicontinuous right-hand part is considered. Thereafter, the theory is extended to the case of non-smooth guiding functions. |
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| Keywords: | Periodic solution differential inclusion causal operator guiding function |
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