Two classes of piecewise-linear difference equations with eventual periodicity six (Q596753)
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scientific article; zbMATH DE number 2085953
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two classes of piecewise-linear difference equations with eventual periodicity six |
scientific article; zbMATH DE number 2085953 |
Statements
Two classes of piecewise-linear difference equations with eventual periodicity six (English)
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10 August 2004
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The author studies two classes of difference equations which are piecewise-linear and of similar forms. He shows that solutions to these equations are bounded and eventually solve the linear difference equation \[ x_{n+1}= x_n- x_{n-1},\qquad n= 0,1,\dots\;. \] After that the author concludes that every nontrivial solution of an equation from the given two classes is eventually periodic with prime period six.
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Asymptotic behavior
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Periodic solutions
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Boundedness
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