A generalization of the Lane-Emden equation. (Q1856811)
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scientific article; zbMATH DE number 1866591
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of the Lane-Emden equation. |
scientific article; zbMATH DE number 1866591 |
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A generalization of the Lane-Emden equation. (English)
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11 February 2003
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The authors study the initial value problem \(y''(t)+p(t)y'(t)+q(t,y(t))=0\), \(y(0)=a\), \(y'(0)=0\). Four conditions on \(p\) and \(q\) are established so that a solution to the initial value problem exists. If additionally \(q\) is Lipschitzian then the solution is unique.
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second-order initial value problems
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solution existence
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solution uniqueness
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0.96521735
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0.8770242
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0.86423683
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0.85476124
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0.8546948
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