Lomonosov Moscow State University, F aculty of Mechanics and M athematics Leninskie Gory, 1, Moscow, RU 119991 Plekhanov Russian University of Economics (P RUE), F aculty of M athematical Economics, Statistics and Informatics (MESI) Stremyanny lane, 36 Moscow, RU 117997
The asymptotic behavior of all solutions to the fourth-order Emden– Fowler type differential equation with singular nonlinearity is investigated. The equation is transformed into a system on the three-dimensional sphere. By investigation of the asymptotic behavior of all possible trajectories of this system an asymptotic classification of all solutions to the equation is obtained.
Astashova, I. (2016). On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity. Mathematical Modelling and Analysis, 21(4), 502-521. https://doi.org/10.3846/13926292.2016.1185043
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