On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity
DOI: https://doi.org/10.3846/13926292.2016.1185043Abstract
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.
Keywords:
singular nonlinear equations, asymptotic classification, oscillationHow 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
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Copyright (c) 2016 The Author(s). Published by Vilnius Gediminas Technical University.
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Published
2016-06-23
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Copyright
Copyright (c) 2016 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
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