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Gevrey type solutions of nonlinear difference equations

Gevrey type solutions of nonlinear difference equations We prove the existence of Gevrey type solutions for locally analytic, nonlinear difference equations possessing a formal solution that belongs to some (generalized) Gevrey class of divergent power series in z −1/p . We consider different types of domains: domains bounded by a curve with limiting directions −π/2 and π/2 (mod π), and domains bounded by curves with the same limiting direction, viz. π/2 (mod π), containing an unbounded part of the imaginary axis. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Asymptotic Analysis IOS Press

Gevrey type solutions of nonlinear difference equations

Asymptotic Analysis , Volume 50 (3) – Jan 1, 2006

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Publisher
IOS Press
Copyright
Copyright © 2006 by IOS Press, Inc
ISSN
0921-7134
eISSN
1875-8576
Publisher site
See Article on Publisher Site

Abstract

We prove the existence of Gevrey type solutions for locally analytic, nonlinear difference equations possessing a formal solution that belongs to some (generalized) Gevrey class of divergent power series in z −1/p . We consider different types of domains: domains bounded by a curve with limiting directions −π/2 and π/2 (mod π), and domains bounded by curves with the same limiting direction, viz. π/2 (mod π), containing an unbounded part of the imaginary axis.

Journal

Asymptotic AnalysisIOS Press

Published: Jan 1, 2006

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