Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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}
Linking options:
  • https://www.mathnet.ru/eng/into154
  • https://www.mathnet.ru/eng/into/v132/p7
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024