Some remarks on second order linear difference equations (Q1609966)
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scientific article; zbMATH DE number 1783046
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some remarks on second order linear difference equations |
scientific article; zbMATH DE number 1783046 |
Statements
Some remarks on second order linear difference equations (English)
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19 August 2002
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For the equation \(c_nx_{n+1}+c_{n-1}x_{n-1}=b_nx_n,\) \(n\in \mathbb{N}\), with \(c_n+c_{n-1}>b_n>0\) when \(n\) is large conditions are given such that the solutions are oscillatory respectively nonoscillatory. In the case \(c_n=\text{const.}\) also the corresponding inhomogeneous equation is investigated.
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second order linear difference equations
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oscillation
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0.9245973
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0.9228153
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