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Journal of Mathematical Sciences

, Volume 230, Issue 5, pp 651–655 | Cite as

Asymptotics of Oscillating Solutions to Equations with Power Nonlinearities

  • I. V. Astashova
Article
  • 6 Downloads

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 and phrases

oscillating solution asymptotic behavior nonlinear equation 

AMS Subject Classification

34C10 34E10 

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References

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.M. V. Lomonosov Moscow State UniversityMoscowRussia
  2. 2.G. V. Plekhanov Russian University of EconomicsMoscowRussia

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