Unbounded positive solutions to higher-order difference equations with singular nonlinear term (Q1570138)
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scientific article; zbMATH DE number 1471567
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unbounded positive solutions to higher-order difference equations with singular nonlinear term |
scientific article; zbMATH DE number 1471567 |
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Unbounded positive solutions to higher-order difference equations with singular nonlinear term (English)
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1 May 2001
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A characterization for each \(E_k\), being the solution of \(\Delta^m x_{m-1}+ \sigma f(n, x_{n-r})= 0\) where \(f(n,x)\) is nonincreasing in \(x\), is given. A prototype of these equations (singular Emden-Fowler equations) is also studied.
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unbounded positive solutions
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higher-order difference equations
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Emden-Fowler equations
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