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math.AP2013
On parametric Gevrey asymptotics for singularly perturbed partial differential equations with delays
Alberto Lastra, Stéphane Malek
We study a family of singularly perturbed difference-differential equations in the complex domain. We provide sectorial holomorphic solutions in the perturbation parameter .…
math.AP2013
On complex singularity analysis for some linear partial differential equations in
Alberto Lastra, Stéphane Malek, Catherine Stenger
We investigate the existence of local holomorphic solutions of linear partial differential equations in three complex variables whose coefficients are singular along an analyti…