Asymptotic behavior of solutions of a class of second order quasilinear ordinary differential equations (Q1612045)
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scientific article; zbMATH DE number 1790843
| Language | Label | Description | Also known as |
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| English | Asymptotic behavior of solutions of a class of second order quasilinear ordinary differential equations |
scientific article; zbMATH DE number 1790843 |
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Asymptotic behavior of solutions of a class of second order quasilinear ordinary differential equations (English)
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18 August 2003
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Here, the second-order quasilinear ordinary differential equation \[ (|y'|^{\alpha-1}y')'= p(t)|y|^{\beta-1}y \] is considered. All solutions are classified into six classes according to their asymptotic behavior. Necessary and/or sufficient conditions are given on such equation to possess a solution of each of the six types.
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asymptotic behavior
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quasilinear equation
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