Email this article Asymptotics of Oscillating Solutions to Equations with Power Nonlinearities
- Authors: Astashova I.V.1,2
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Affiliations:
- M. V. Lomonosov Moscow State University
- G. V. Plekhanov Russian University of Economics
- Issue: Vol 230, No 5 (2018)
- Pages: 651-655
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/240779
- DOI: https://doi.org/10.1007/s10958-018-3762-8
- ID: 240779
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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.
About the authors
I. V. Astashova
M. V. Lomonosov Moscow State University; G. V. Plekhanov Russian University of Economics
Author for correspondence.
Email: ast@diffiety.ac.ru
Russian Federation, Moscow; Moscow
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