On the solutions of Halphen's equation (Q1848324)
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scientific article; zbMATH DE number 1832856
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the solutions of Halphen's equation |
scientific article; zbMATH DE number 1832856 |
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On the solutions of Halphen's equation (English)
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1 April 2003
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Using a theorem of Picard, the author expresses the solutions to Halphen's equation in terms of elliptic functions of the second kind. He briefly discusses the well-known process of the reduction of the order of a differential equation when one solution is known and applies it to Halphen's equation. He also illustrates his discussion by means of some interesting examples.
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Halphen's equation
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elliptic functions of the second kind
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0.7664293646812439
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