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On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity

    Irina Astashova Affiliation

Abstract

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.

Keyword : singular nonlinear equations, asymptotic classification, oscillation

How to Cite
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
Published in Issue
Jun 23, 2016
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This work is licensed under a Creative Commons Attribution 4.0 International License.