In this paper we use geometrical and topological methods to the study of existence problem of periodic solutions for functional differential inclusions with nonconvex right-hand side.
functional differential inclusion, periodic solution, guiding function, topological degree
1. Borisovich Yu.G., Gel´man B.D., Myshkis A.D., Obukhovskiy V.V. Vvedenie v teoriyu mnogoznachnykh otobrazheniy i differentsial´nykh vklyucheniy, 2-e izd.- M.: Knizhnyy dom «Librokom», 2011.- 224 s.
2. Klark F. Optimizatsiya i negladkiy analiz.- M.:Nauka, 1988.- 280 s.
3. Obukhovskii V., Zecca P., Loi N.V., Kornev S. Method of guiding functions in problems of nonlinear analysis. Lecture Notes in Math. V. 2076.- Berlin: Springer, 2013.- 177 p.