Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 132, Pages 7–11 (Mi into154)  
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotics of oscillating solutions to equations with power nonlinearities

I. V. Astashovaab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Plekhanov Russian State University of Economics, Moscow
Full-text PDF (271 kB) Citations (1)
Abstract: We present results on the existence of oscillating solutions of specific form (“quasiperiodic” solutions) for a nonlinear differential equation with power nonlinearity. For oscillating solutions to third-order equations of this type, we obtain an asymptotics of extremums, which is expressed through the asymptotics of extremums of a “quasiperiodic” solution. These results clarify the asymptotic formulas for the modules of extremums of solutions obtained by the author earlier.
Keywords: oscillating solution, asymptotic behavior, nonlinear equation.
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 230, Issue 5, Pages 651–655
DOI: https://doi.org/10.1007/s10958-018-3762-8
Bibliographic databases:
Document Type: Article
UDC: 517.925.54
MSC: 34C10, 34E10
Language: Russian
Citation: I. V. Astashova, “Asymptotics of oscillating solutions to equations with power nonlinearities”, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132, VINITI, Moscow, 2017, 7–11; J. Math. Sci. (N. Y.), 230:5 (2018), 651–655
Citation in format AMSBIB
\Bibitem{Ast17}
\by I.~V.~Astashova
\paper Asymptotics of oscillating solutions to equations with power nonlinearities
\inbook Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 132
\pages 7--11
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into154}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801374}
\zmath{https://zbmath.org/?q=an:1393.34051}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 230
\issue 5
\pages 651--655
\crossref{https://doi.org/10.1007/s10958-018-3762-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044476738}
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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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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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