4 citations · 10 across the 16 of their papers we have counts for
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Summability of formal solutions for a family of generalized moment integro-differential equations
Alberto Lastra, Sławomir Michalik, Maria Suwińska
Generalized summability results are obtained regarding formal solutions of certain families of linear moment integro-differential equations with time variable coefficients. The mai…
Estimates of formal solutions for some generalized moment partial differential equations
Alberto Lastra, Sławomir Michalik, Maria Suwińska
Using increasing sequences of real numbers, we generalize the idea of formal moment differentiation first introduced by W. Balser and M. Yoshino. Slight departure from the concept…
On parametric Borel summability for linear singularly perturbed Cauchy problems with linear fractional transforms
Alberto Lastra, Stéphane Malek
We consider a family of linear singularly perturbed Cauchy problems which combines partial differential operators and linear fractional transforms. We construct a collection of hol…
Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity
Alberto Lastra, Stéphane Malek
We study a singularly perturbed PDE with cubic nonlinearity depending on a complex perturbation parameter . This is the continuation of a precedent work by the first author. We…
On multiscale Gevrey and q-Gevrey asymptotics for some linear q-difference differential initial value Cauchy problems
Alberto Lastra, Stephane Malek
We study the asymptotic behavior of the solutions related to a singularly perturbed q-difference-differential problem in the complex domain. The analytic solution can be splitted a…
Strongly regular multi-level solutions of singularly perturbed linear partial differential equations
Alberto Lastra, Stéphane Malek, Javier Sanz
We study the asymptotic behavior of the solutions related to a family of singularly perturbed partial differential equations in the complex domain. The analytic solutions are asymp…