On parametric multilevel q-Gevrey asymptotics for some linear Cauchy problem
arXiv:1508.02621
Abstract
We study a linear difference-differential Cauchy problem, under the action of a perturbation parameter . This work deals with a analog of the research made in a previoues work, giving rise to a generalization of a recent work by the second author. This generalization is related to the nature of the forcing term which suggests the use of a analog of an acceleration procedure. The proof leans on a analog of the so-called Ramis-Sibuya theorem which entails two distinct Gevrey orders. The work concludes with an application of the main result when the forcing term solves a related problem.
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