Method of nonsmooth integral guiding functions in periodic solutions problem for inclusions with causal multioperators (Q2833562)
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scientific article; zbMATH DE number 6654727
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Method of nonsmooth integral guiding functions in periodic solutions problem for inclusions with causal multioperators |
scientific article; zbMATH DE number 6654727 |
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18 November 2016
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periodic solution
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differential inclusion
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functional differential inclusion
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causal operator
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integral guiding function
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nonsmooth guiding function
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Method of nonsmooth integral guiding functions in periodic solutions problem for inclusions with causal multioperators (English)
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The author applies the method of nonsmooth integral guiding functions (see [the reviewer et al., Method of guiding functions in problems of nonlinear analysis. Berlin: Springer (2013; Zbl 1282.34003)]) to the existence of periodic solutions of differential inclusions whose right-hand part is a multivalued causal operator. The cases of convex-valued and nonconvex-valued operators are considered. As example, the periodic problem for a semilinear functional differential inclusion is presented.
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