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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.
Asymptotic Analysis – IOS Press
Published: Jan 1, 2006
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