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On the Gevrey order of formal solutions of nonlinear difference equations |
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| Authors: | G. K. Immink |
| Affiliation: | 1. Faculty of Economics , University of Groningen , P.O. Box 800, Groningen, 9700 AV, The Netherlands g.k.immink@eco.rug.nl |
| Abstract: | We prove a Maillet type theorem for formal solutions of nonlinear difference systems, relating the Gevrey order of the formal solutions to the lowest level of an associated, linear difference operator. |
| Keywords: | Formal solution Gevrey class Maillet's theorem |