Asymptotic properties of fourth-order nonlinear difference equations (Q1765043)
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scientific article; zbMATH DE number 2137121
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic properties of fourth-order nonlinear difference equations |
scientific article; zbMATH DE number 2137121 |
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Asymptotic properties of fourth-order nonlinear difference equations (English)
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22 February 2005
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For the difference equation \(\Delta(a_n\Delta(b_n\Delta(c_n\Delta y_n)))+ f_n(y_n)= 0\) conditions are given such that there exists a constant \(d\neq 0\) and a solution with \(y_n\sim d\varphi_n\) resp. \(y_n\sim d\mu_n\), where \(\rho_n= \sum^\infty_{j=n} 1/c_j\sum^\infty_{i=j} 1/b_i\) and \(\mu_n= \sum^{n-1}_{i=1} 1/c_i\).
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fourth order nonlinear difference equation
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nonoscillatory solutions
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asymptotic properties
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0.9792691
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0.9710215
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0.9603548
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0.9600084
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0.9498555
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0.94305897
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