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Nonsmooth integral guiding potentials and asymptotic behaviour of solutions for inclusions with causal multioperators

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In the present paper, differential inclusions with a causal multioperator are considered. We apply the method of nonsmooth integral guiding potentials to the study of the problem on the asymptotic… Click to show full abstract

In the present paper, differential inclusions with a causal multioperator are considered. We apply the method of nonsmooth integral guiding potentials to the study of the problem on the asymptotic behaviour of solutions for such inclusions. We investigate both the case of a closed and convex-valued right-hand part and the case of a nonconvex-valued and lower semicontinuous right-hand part.

Keywords: asymptotic behaviour; behaviour solutions; inclusions causal; integral guiding; nonsmooth integral; guiding potentials

Journal Title: Optimization
Year Published: 2019

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