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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 3, Pages 58–67 (Mi ivm9217)  

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

I. V. Filimonovaa, T. S. Khachlaevb

a Lomonosov Moscow State University, GSP-1 Leninskie Gory, Moscow, 119991 Russia
b Moscow Technological University, 78 Vernadskogo Аve., Moscow, 119454 Russia
References:
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.
Keywords: ordinary differential equation, nonlinear equation, semilinear equation, Emden–Fowler equation, asymptotic behavior of solutions, positive solution, existence of solution, maximum principle.
Received: 17.09.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 3, Pages 49–57
DOI: https://doi.org/10.3103/S1066369X17030069
Bibliographic databases:
Document Type: Article
UDC: 517.923
Language: Russian
Citation: I. V. Filimonova, T. S. Khachlaev, “On asymptotic properties of solutions defined on a half-axis to one semilinear ordinary differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3, 58–67; Russian Math. (Iz. VUZ), 61:3 (2017), 49–57
Citation in format AMSBIB
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\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\issue 3
\pages 58--67
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\jour Russian Math. (Iz. VUZ)
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\vol 61
\issue 3
\pages 49--57
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