Singularly perturbed periodic parabolic equations with alternating boundary layer type solutions.
Solution formelle Gevrey d'une équation singulièrement perturbée : le cas multidimensionnel
Nous considérons les équations différentielles possédant un paramètre de contrôle, singulièrement perturbées par un petit paramètre . Nous prouvons alors, par des techniques de majoration directe, que les solutions formelles et le paramètre de contrôle sont des séries Gevrey en .
Solvability and asymptotic behavior of solutions of ordinary differential equations with variable operator coefficients
Solving a bilocal linear singularly perturbed problem.
Some converse theorems in the asymptotic theory of ordinary differential equations
Some results on the asymptotic behaviour of the equation with a complex-valued function
Stokes phenomenon, multisummability and differential Galois groups
We precise the cohomological analysis of the Stokes phenomenon for linear differential systems due to Malgrange and Sibuya by making a rigid natural choice of a unique cocycle (called a Stokes cocyle) in every cohomological class. And we detail an algebraic algorithm to reduce any cocycle to its cohomologous Stokes form. This gives rise to an almost algebraic definition of sums for formal solutions of systems which we compare to the most usual ones. We also use this construction to the Stokes cocycle...
Strong uniform approximation for some singularly perturbed differential equations arising in chemical reactor theory.
Sulla risoluzione asintotica dell’equazione , con matrice , nel caso oscillante. - II
Sur les infinis des solutions de certaines equations differentielles
System of differential equations with unstable turning point and multiple element of spectrum of degenerate operator