4 papers
Rigorous numerical computation of the Stokes multipliers for linear differential equations with single level one
Michèle Loday-Richaud, Marc Mezzarobba, Pascal Remy
We describe a practical algorithm for computing the Stokes multipliers of a linear differential equation with polynomial coefficients at an irregular singular point of single level…
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…
Meromorphic solutions of linear -difference equations
Alberto Lastra, Pascal Remy
In this article, we construct explicit meromorphic solutions of first order linear -difference equations in the complex domain and we describe the location of all their zeros an…
Resurgence, Stokes phenomenon and alien derivatives for level-one linear differential systems
Michèle Loday-Richaud, Pascal Remy
A precise description of the singularities of the Borel transform of solutions of a level-one linear differential system is deduced from a proof of the summable-resurgence of the s…