Geodesic
Method of stochastic multivalent guiding functions in a periodic problem for stochastic differential inclusions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 5, Tome 194 (2021), pp. 38-45

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In this paper, the concept of a stochastic multivalent guiding function is introduced. The new method based of the concept introduced allows one to establish a sufficient criterion for the existence of periodic solutions of stochastic differential inclusions in finite-dimensional spaces.
Keywords: stochastic differential inclusion, stochastic multivalent guiding function, stochastic periodic solution. 
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     author = {Yu. E. Bezmelnitsyna and S. V. Kornev and V. V. Obukhovskii},
     title = {Method of stochastic multivalent guiding functions in a periodic problem for stochastic differential inclusions},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {38--45},
     publisher = {mathdoc},
     volume = {194},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_194_a3/}
}
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Yu. E. Bezmelnitsyna; S. V. Kornev; V. V. Obukhovskii. Method of stochastic multivalent guiding functions in a periodic problem for stochastic differential inclusions. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 5, Tome 194 (2021), pp. 38-45. http://geodesic.mathdoc.fr/item/INTO_2021_194_a3/