On the positive solutions of the difference equation system \(X_{n+1}=\frac {1} {y_n},\) \(Y_{n+1}=\frac {Y_n} {X_{n-1}Y_{n-1}}\) (Q702533)
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scientific article; zbMATH DE number 2128761
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the positive solutions of the difference equation system \(X_{n+1}=\frac {1} {y_n},\) \(Y_{n+1}=\frac {Y_n} {X_{n-1}Y_{n-1}}\) |
scientific article; zbMATH DE number 2128761 |
Statements
On the positive solutions of the difference equation system \(X_{n+1}=\frac {1} {y_n},\) \(Y_{n+1}=\frac {Y_n} {X_{n-1}Y_{n-1}}\) (English)
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17 January 2005
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The author considers the system of two difference equations as it appears in the title. The main results on the short paper are two theorems, one gives the periodicity of the solution and the other one gives an explicit formula of the positive solutions. No examples are included.
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system of difference equation
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positive solutions
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periodic solution
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0.96554136
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0.9566492
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0.9513047
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0.9512316
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0.9512126
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