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On asymptotic properties of solutions defined on a half-axis to one semilinear ordinary differential equation

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Abstract

We consider solutions to the semilinear ordinary differential equation with a nonlinear term of Emden–Fowler type. The results about the asymptotic behavior of the solutions to the Emden–Fowler equation defined in a neighborhood of infinity, presented in the book of R. Bellman, are extended to the case of equation with lower-order derivative.

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Authors and Affiliations

  1. Lomonosov Moscow State University, GSP-1 Leninskie Gory 1, Moscow, 119991, Russia

    I. V. Filimonova

  2. Moscow Technological University, pr. Vernadskogo 78, Moscow, 119454, Russia

    T. S. Khachlaev

Authors
  1. I. V. Filimonova
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  2. T. S. Khachlaev
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Corresponding author

Correspondence to I. V. Filimonova.

Additional information

Original Russian Text © I.V. Filimonova, T.S. Khachlaev, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 3, pp. 58–67

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Filimonova, I.V., Khachlaev, T.S. On asymptotic properties of solutions defined on a half-axis to one semilinear ordinary differential equation. Russ Math. 61, 49–57 (2017). https://doi.org/10.3103/S1066369X17030069

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  • DOI: https://doi.org/10.3103/S1066369X17030069

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