Uniqueness of connecting orbits in the equation \(Y^{(3)}=Y^ 2-1\) (Q1096066)
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scientific article; zbMATH DE number 4029999
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of connecting orbits in the equation \(Y^{(3)}=Y^ 2-1\) |
scientific article; zbMATH DE number 4029999 |
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Uniqueness of connecting orbits in the equation \(Y^{(3)}=Y^ 2-1\) (English)
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1986
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The first order system corresponding to the third order scalar equation \(y\prime''=y^ 2-1\) is known to have bounded solutions which in fact connect the two rest points of the system. By means of an elementary analysis it is shown in this paper that there is only one solution of this type.
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connecting orbits
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first order system
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third order scalar equation
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bounded solutions
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