Power series solutions of non-linear \(q\)-difference equations and the Newton-Puiseux polygon (Q2675101)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Power series solutions of non-linear \(q\)-difference equations and the Newton-Puiseux polygon |
scientific article |
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Power series solutions of non-linear \(q\)-difference equations and the Newton-Puiseux polygon (English)
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20 September 2022
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The authors study the existence of power series solutions to nonlinear \(q\)-difference equations of any order and degree, by using the Newton-Puiseux polygon process. In addition, they investigate the properties of the set of exponents of the solutions and give a bound for their \(q\)-Gevrey order. An example is given.
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Newton-Puiseux polygon process
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Gevrey order
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