Asymptotics of Rapidly Varying Solutions of Differential Equations Asymptotically Close to Equations with Regularly Varying Nonlinearities

We establish the existence conditions and asymptotic representations as t  ↑  ω ( ω  ≤  + ∞) for rapidly varying solutions of differential equations of order n asymptotically close (in a certain sense) to equations with regularly varying nonlinearities.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-02, Vol.253 (2), p.242-262
Main Authors: Evtukhov, V. M., Drozhzhina, A. V.
Format: Article
Language:English
Subjects:
Asymptotic properties
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
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Summary:We establish the existence conditions and asymptotic representations as t  ↑  ω ( ω  ≤  + ∞) for rapidly varying solutions of differential equations of order n asymptotically close (in a certain sense) to equations with regularly varying nonlinearities.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05225-5