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math.CV2023
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…
math.CV2023
On sequences preserving q-Gevrey asymptotic expansions
Alberto Lastra, Sławomir Michalik
The modification of the coefficients of formal power series is analyzed in order that such variation preserves q-Gevrey asymptotic properties, in particular q-Gevrey asymptotic exp…
math.AP2023★ 3 cited
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…