7 papers
Summable solutions of the Goursat problem for some partial differential equations with constant coefficients
Sławomir Michalik
We consider the Goursat problem for linear partial differential equations with constant coefficients in two complex variables. We find the conditions for summable solutions of the…
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…
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…
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…
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…
The Stokes phenomenon for some moment partial differential equations
Sławomir Michalik, Bożena Tkacz
We study the Stokes phenomenon for the solutions of general homogeneous linear moment partial differential equations with constant coefficients in two complex variables under condi…