138 citations
- Polish Academy of SciencesPL73 papers
- Institute of PhysicsPL33 papers
- Center for Theoretical PhysicsPL29 papers
- University of WarsawPL24 papers
- Institute of MathematicsPL11 papers
- Centre National de la Recherche ScientifiqueFR9 papers
- Czech Academy of SciencesCZ9 papers
- Czech Academy of Sciences, Institute of MathematicsCZ9 papers
- Leipzig UniversityDE9 papers
- Institute of High Pressure PhysicsPL8 papers
- Centrum Badań KosmicznychPL7 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR7 papers
15 papers · 1 filter
On the summability and convergence of formal solutions of linear -difference-differential equations with constant coefficients
Kunio Ichinobe, Sławomir Michalik
We consider the Cauchy problem for homogeneous linear -difference-differential equations with constant coefficients. We characterise convergent, -summable and multisummable f…
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…
Parabolic Quasi-Variational Inequalities (I) -- Semimonotone Operator Approach
Maria Gokieli, Nobuyuki Kenmochi, Marek Niezgódka
Variational inequalities, formulated on unknown dependent convex sets, are called quasi-variational inequalities (QVI). This paper is concerned with the abstract approach to a clas…
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…
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…