ON THE METHOD OF NONSMOTH INTEGRAL GUIDING FUNCTION IN THE EXISTENCE PROBLEM OF PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH NONCONVEX RIGHT-HAND SIDE
Abstract and keywords
Abstract (English):
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.

Keywords:
functional differential inclusion, periodic solution, guiding function, topological degree
References

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.


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