Remarque sur une propriété asymptotique des solutions d'une équation différentielle à paramètre retardé
Renormalization of exponential sums and matrix cocycles
In this paper, we present a new point of view on the renormalization of some exponential sums stemming from number theory. We generalize this renormalization procedure to study some matrix cocycles arising in spectral problems of quantum mechanics
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
The asymptotic behaviour of oscillatory solutions of the equation of the fourth order
The asymptotic solution of higher-order differential equations with small final coefficient
The Blasius function in the complex plane.
The distribution of nonprincipal eigenvalues of singular second-order linear ordinary differential equations.
The generalized Cauchy problem for singularly perturbed impulsive systems in the critical case.
The period function near a polycycle with two semi-hyperbolic vertices
The width of resonances for slowly varying perturbations of one-dimensional periodic Schrödinger operators