A generalization of Poincaré's theorem for recurrence equations (Q752303)
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scientific article; zbMATH DE number 4177651
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of Poincaré's theorem for recurrence equations |
scientific article; zbMATH DE number 4177651 |
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A generalization of Poincaré's theorem for recurrence equations (English)
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1990
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A generalization of Poincaré's theorem on ratio asymptotics of the solutions to higher order recurrence equations is given for the system of first order equations \(u_{n+1}=A_ nu_ n,\) where \(A_ n\) is a \(k\times k\) matrix such that \(\lim_{n\to \infty} A_ n=A\), and \(u_ n\) is a k-dimensional column vector.
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Poincaré's theorem
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higher order recurrence equations
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