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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 3, Pages 58–67
(Mi ivm9217)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/ivm9217 https://www.mathnet.ru/eng/ivm/y2017/i3/p58
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