4 citations · 10 across the 16 of their papers we have counts for
11 papers · 1 filter
Summability of formal solutions for some generalized moment partial differential equations
Alberto Lastra, Slawomir Michalik, Maria Suwinska
The concept of moment differentiation is extended to the class of moment summable functions, giving rise to moment differential properties. The main result leans on accurate upper…
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…
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…
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…
Maillet type theorem for nonlinear totally characteristic partial differential equations
Alberto Lastra, Hidetoshi Tahara
The paper discusses a holomorphic nonlinear singular partial differential equation under the assumpt…
Multisummability in Carleman ultraholomorphic classes by means of nonzero proximate orders
Javier Jiménez-Garrido, Shingo Kamimoto, Alberto Lastra +1
We introduce a general multisummability theory of formal power series in Carleman ultraholomorphic classes. The finitely many levels of summation are determined by pairwise compara…