20 citations · 48 across the 28 of their papers we have counts for
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Formal solution and strong asymptotic expansion of some initial value problem in two complex time variables, infinite order irregular singularities and Mahler transforms
Alberto Lastra, Stephane Malek
A formal solution to a partial differential equation of infinite order involving the action of Mahler-type operators in several variables is obtained. Such formal solutions is cons…
On some -analog of an initial value problem with infinite order irregular singularity and Mahler transforms
Alberto Lastra, Stephane Malek
A family of -difference-differential equations in two complex variables is studied, under the action of a so-called Mahler transform on time variable. The appearance of a leadin…
Parametric formal Gevrey asymptotic expansions in two complex time variable problems
Guoting Chen, Alberto Lastra, Stephane Malek
The analytic and formal solutions to a family of singularly perturbed partial differential equations in the complex domain involving two complex time variables are considered. The…
Gevrey versus q-Gevrey asymptotic expansions for some linear q-difference-differential Cauchy problem
Alberto Lastra, Stéphane Malek
The asymptotic behavior of the analytic solutions of a family of singularly perturbed q-difference-differential equations in the complex domain is studied. Different asymptotic exp…
On q-Gevrey asymptotics for logarithmic type solutions in singularly perturbed q-difference-differential equations
Alberto Lastra, Stéphane Malek
A family of singularly perturbed q-difference-differential equations under the action of a small complex perturbation parameter is studied. The action of the formal monodromy aroun…
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…