Geodesic
Nonsmooth integral direction potentials in the problem of the asymptotic behavior of trajectories of some classes of functional differential inclusions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M. T. Terekhin. Ryazan State University named for S. A. Yesenin, Ryazan, May 17-18, 2019. Part 2, Tome 186 (2020), pp. 13-20

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In this paper, we present new methods for solving the problem of the asymptotic behavior of trajectories of control systems governed by functional differential inclusions with nonconvex-valued right-hand sides. The main tool for solving this problem is the method of nonsmooth integral directing potentials.
Keywords: asymptotic behavior, functional differential inclusion, nonsmooth integral directing potential.
Mots-clés : normal multimap 
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     author = {Yu. E. Bezmelnitsyna and S. V. Kornev and V. V. Obukhovskii},
     title = {Nonsmooth integral direction potentials in the problem of the asymptotic behavior of trajectories of some classes of functional differential inclusions},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {13--20},
     publisher = {mathdoc},
     volume = {186},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_186_a1/}
}
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Yu. E. Bezmelnitsyna; S. V. Kornev; V. V. Obukhovskii. Nonsmooth integral direction potentials in the problem of the asymptotic behavior of trajectories of some classes of functional differential inclusions. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M. T. Terekhin. Ryazan State University named for S. A. Yesenin, Ryazan, May 17-18, 2019. Part 2, Tome 186 (2020), pp. 13-20. http://geodesic.mathdoc.fr/item/INTO_2020_186_a1/