activity
20192025
most citedEstimates of formal solutions for some generalized moment partial differential equations

15 citations · 34 across the 5 of their papers we have counts for

collaborators

5 papers

math.CA2025

On sequences preserving summability

Sławomir Michalik, Maria Suwińska, Bożena Tkacz

In this paper, we study sequences of positive numbers preserving summability. In particular, the open set property for such a family of sequences is shown. Several classes of seque…

math.CA2022★ 9 cited

Multisummability of formal solutions for a family of generalized singularly perturbed moment differential equations

Alberto Lastra, Sławomir Michalik, Maria Suwińska

The notion of moment differentiation is extended to the set of generalized multisums of formal power series via an appropriate integral representation and accurate estimates of the…

math.AP2020★ 10 cited

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…

math.CV2020

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…

math.AP2019★ 15 cited

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…