On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity
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 th...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2016-06-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/831 |
| Summary: | 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.
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| ISSN: | 1392-6292 1648-3510 |