Asymptotic behavior of a quasilinear difference equation (Q2748626)
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scientific article; zbMATH DE number 1660481
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of a quasilinear difference equation |
scientific article; zbMATH DE number 1660481 |
Statements
10 November 2002
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quasilinear difference equation
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oscillatory solution
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nonoscillatory solution
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asymptotic behavior
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Asymptotic behavior of a quasilinear difference equation (English)
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The paper contains necessary and sufficient conditions for the existence of some nonoscillatory solutions to the quasilinear difference equation NEWLINE\[NEWLINE \Delta \left( \left|\Delta x_{n}\right|^{\alpha -1}\left( \Delta x_{n}\right) \right) +f\left( n,x_{n}\right) =0, NEWLINE\]NEWLINE where \(\Delta x_{n}=x_{n+1}-x_{n} , \alpha >0\) is a constant and \(f\) is a continuous function.
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