\(C^m\) solutions of systems of finite difference equations (Q1415083)
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scientific article; zbMATH DE number 2012538
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^m\) solutions of systems of finite difference equations |
scientific article; zbMATH DE number 2012538 |
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\(C^m\) solutions of systems of finite difference equations (English)
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3 December 2003
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Under certain conditions it is shown for given \(G\), \(H\) that the system \[ G(x, f(x),\dots, f(x+ n), g(x),\dots, g(x+ n))= 0, \] \[ H(x,g(x),\dots, g(x+ n), f(x),\dots, f(x+ n))= 0 \] has a unique solution \(f\), \(g\) in \(\mathbb{C}^m\).
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system of difference equations
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