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math.CV2019
On a analog of a singularly perturbed problem of irregular type with two complex time variables
Alberto Lastra, Stéphane Malek
Analytic solutions and their formal asymptotic expansions for a family of the singularly perturbed difference-differential equations in the complex domain are constructed. They…
math.CV2019
Boundary layer expansions for initial value problems with two complex time variables
Alberto Lastra, Stéphane Malek
We study a family of partial differential equations in the complex domain, under the action of a complex perturbation parameter . We construct inner and outer solutions of the p…
math.CV2019
On singularly perturbed linear initial value problems with mixed irregular and Fuchsian time singularities
Alberto Lastra, Stephane Malek
We consider a family of linear singularly perturbed PDE relying on a complex perturbation parameter . As in a former study of the authors (A. Lastra, S. Malek, Parametric Gevrey…