Some applications of the theory of random degree of coincidence in periodic problems for functional differential inclusions

E. N. Getmanova ; S. V. Kornev

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. 21-31.

Résumé

The method of random integral direction functions developed on the basis of the theory of a random topological degree of coincidence is applied to the study of the periodic problem for random functional differential inclusions in finite-dimensional spaces.

Détail

Keywords: random integral directing function, random potential, random multioperator, random degree of coincidence, random topological index.

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