16 citations · 24 across the 6 of their papers we have counts for
7 papers
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…
On integral representations of -difference operators and their applications
Antonio Cáceres, Alberto Lastra, Sławomir Michalik +1
Integral representations of two -difference operators are provided in terms of special functions arising in the theory of asymptotic solutions to -difference equations in the…
On Gevrey regularity of solutions for inhomogeneous nonlinear moment partial differential equations
Pascal Remy, Maria Suwińska
In this article we investigate Gevrey regularity of formal power series solutions for a certain class of nonlinear moment partial differential equations, the inhomogeneity of which…
On conditions determining formal automorphisms of integro-differential operators
Alberto Lastra, Sławomir Michalik, Maria Suwińska
Results providing conditions on a family of integro-differential operators to determine a formal automorphism are established. Equivalently, the problem can be read in terms of exi…
Gevrey estimates of formal solutions for certain moment partial differential equations with variable coefficients
Maria Suwińska
The goal of this paper is to investigate Gevrey properties of formal solutions of certain generalized linear partial differential equations with variable coefficients. In particula…
Gevrey estimates for certain moment partial differential equations
Sławomir Michalik, Maria Suwińska
We consider the Cauchy problem for inhomogeneous linear moment differential equations with holomorphic time dependent coefficients. Using such tools as the formal norms, theory of…
Hyperasymptotic solutions for certain partial differential equations
Sławomir Michalik, Maria Suwińska
We present the hyperasymptotic expansions for a certain group of solutions of the heat equation. We extend this result to a more general case of linear PDEs with constant coefficie…