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math.AP2025
Formal power series solutions with coefficients defined on shrinking discs for some partial differential equations
Alberto Lastra, Sławomir Michalik, Maria Suwińska
In this paper conditions, under which an integro-differential operator is a linear automorphism, are provided. Alternatively, the problem can be considered in terms of existence of…
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…