Results and conjectures about order \(q\) Lyness' difference equation \(u_{n+q}u_n=a+u_{n+q - 1}+ \dots +u_{n+1}\) in \(\mathbb R_{\ast}^+\), with a particular study of the case \(q=3\) (Q1034109)
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scientific article; zbMATH DE number 5629297
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Results and conjectures about order \(q\) Lyness' difference equation \(u_{n+q}u_n=a+u_{n+q - 1}+ \dots +u_{n+1}\) in \(\mathbb R_{\ast}^+\), with a particular study of the case \(q=3\) |
scientific article; zbMATH DE number 5629297 |
Statements
Results and conjectures about order \(q\) Lyness' difference equation \(u_{n+q}u_n=a+u_{n+q - 1}+ \dots +u_{n+1}\) in \(\mathbb R_{\ast}^+\), with a particular study of the case \(q=3\) (English)
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11 November 2009
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Lyness' difference equation
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divergence
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permanency
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local stability
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invariant sets
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equilibrium
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2-periodic points
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