Riccati techniques and approximation for a second-order Poincaré difference equation (Q1269063)
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scientific article; zbMATH DE number 1217008
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Riccati techniques and approximation for a second-order Poincaré difference equation |
scientific article; zbMATH DE number 1217008 |
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Riccati techniques and approximation for a second-order Poincaré difference equation (English)
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9 June 1999
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Approximation results are obtained via a discrete analog of Riccati method for second-order selfadjoint difference equations and applied to the following second-order Poincaré difference equation \[ z_{n+2}-t(2+b_n)z_{n+1}+t^2 (1+c_n)z_n=0,\quad t\neq 0 \] (\(b_n,c_n\) are real numbers) whose unperturbed equation has a double characteristic root.
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second-order Poincaré difference equation
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second-order selfadjoint difference equations
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Riccati method
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0.9284374
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0.89155203
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0.8837522
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