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Sbornik: Mathematics, 2002, Volume 193, Issue 11, Pages 1707–1729
DOI: https://doi.org/10.1070/SM2002v193n11ABEH000695 (Mi sm695) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the existence of periodic solutions of equations with strongly increasing principal part

V. V. Filippov

M. V. Lomonosov Moscow State University
English version PDF (316 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM2002v193n11ABEH000695
Abstract: In this paper the author continues the extension of the theory of boundary-value problems to ordinary differential equations and inclusions with discontinuous right-hand sides on the basis of the construction of a new version of the method of translation along trajectories. A machinery for the proof of the existence of periodic solutions of second-order equations with superlinearly increasing terms is developed.
Received: 18.06.2001
Bibliographic databases:
UDC: 517.911
MSC: Primary 34C25, 34A34, 34A40; Secondary 34A36
Language: English
Original paper language: Russian
Citation: V. V. Filippov, “On the existence of periodic solutions of equations with strongly increasing principal part”, Sb. Math., 193:11 (2002), 1707–1729
Citation in format AMSBIB
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\by V.~V.~Filippov
\paper On the existence of periodic solutions of equations with strongly increasing principal part
\jour Sb. Math.
\yr 2002
\vol 193
\issue 11
\pages 1707--1729
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0036876007}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:285
    English version PDF:30
    References:89
    First page:1
     
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