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Mathematics of the USSR-Izvestiya, 1990, Volume 34, Issue 2, Pages 317–335
DOI: https://doi.org/10.1070/IM1990v034n02ABEH000648 (Mi im1242) 		 
This article is cited in 14 scientific papers (total in 14 papers)

On the problem of periodic solutions of operator differential inclusions

V. S. Klimov
English version PDF (1080 kB) Citations (14)
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DOI: https://doi.org/10.1070/IM1990v034n02ABEH000648
Abstract: Geometric methods of studying the problem of periodic solutions of differential inclusions are developed, and the notion of rotation of the vector field generated by a multivalued operator of parabolic type is introduced. Properties of the rotation are established, and applications to existence theorems for periodic solutions are given. Variants of the relationship principle are proved, as well as Bogolyubov's second theorem for operator differential inclusions. Possible applications are connected with the mechanics of viscoplastic media, extremal problems, and the theory of differential equations with deviating argument.
Bibliography: 19 titles.
Received: 24.11.1986
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1989, Volume 53, Issue 2, Pages 309–327
Bibliographic databases:
UDC: 517.911
MSC: Primary 34A60, 34C25, 34G20; Secondary 54C60, 35K99
Language: English
Original paper language: Russian
Citation: V. S. Klimov, “On the problem of periodic solutions of operator differential inclusions”, Izv. Akad. Nauk SSSR Ser. Mat., 53:2 (1989), 309–327; Math. USSR-Izv., 34:2 (1990), 317–335
Citation in format AMSBIB
\Bibitem{Kli89}
\by V.~S.~Klimov
\paper On the problem of periodic solutions of operator differential inclusions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1989
\vol 53
\issue 2
\pages 309--327
\mathnet{http://mi.mathnet.ru/im1242}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=998298}
\zmath{https://zbmath.org/?q=an:0697.47055}
\transl
\jour Math. USSR-Izv.
\yr 1990
\vol 34
\issue 2
\pages 317--335
\crossref{https://doi.org/10.1070/IM1990v034n02ABEH000648}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:391
    Russian version PDF:100
    English version PDF:17
    References:58
    First page:1
     
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