Asymptotic properties of solutions of difference equations (Q1093103)
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scientific article; zbMATH DE number 4021784
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic properties of solutions of difference equations |
scientific article; zbMATH DE number 4021784 |
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Asymptotic properties of solutions of difference equations (English)
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1986
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The author considers the difference equation \(\Delta^ my_ n+f(n,y_ n)=0\), \(m\geq 1\), \(n\in {\mathbb{N}}\), n sufficiently large. Sufficient conditions are presented for the existence of a solution which is a specified way asymptotically behaves like a given polynomial function of degree \(<m\). The work is motivated by a paper of \textit{W. F. Trench} on differential equations [Rocky Mt. J. Math. 14, 441-450 (1984; Zbl 0542.34051)].
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asymptotic behaviour
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difference equation
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polynomial function
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