3 papers
math.AP2020
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
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…