Semi-classical approximation and microcanonical ensemble
Similarity and rescaling.
Singular perturbation for nonlinear boundary-value problems.
Singular perturbations for systems of differential inclusions
We study a system of two differential inclusions such that there is a singular perturbation in the second one. We state new convergence results of solutions under assumptions concerning contingent derivative of the perturbed inclusion. These results state that there exists at least one family of solutions which converges to some solution of the reduced system. We extend this result to perturbed systems with state constraints.
Singular perturbations of ordinary differential equations in Colombeau spaces
Singularité analytique et perturbation singulière en dimension 2
Singularly Perturbed Finite Element Methods.
Singularly perturbed periodic parabolic equations with alternating boundary layer type solutions.
Singularly perturbed semilinear Neumann problem with non-normally hyperbolic critical manifold.
Slow and fast systems with Hamiltonian reduced problems.
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 .
Solutions approaching polynomials at infinity to nonlinear ordinary differential equations.
Solutions canards en des points tournants dégénérés
Nous étudions un opérateur défini à partir d’une classe générale d’équations différentielles singulièrement perturbées dans le champ réel ; son caractère contractant permet de conclure à l’existence de solutions canard dans le cas où l’on a un point tournant dégénéré.
Solutions of initial value problems for a pair of linear first order ordinary differential systems with interface-spatial conditions.
Solutions surstables des équations différentielles complexes lentes-rapides à point tournant
Solvability and asymptotic behavior of solutions of ordinary differential equations with variable operator coefficients
Solving a bilocal linear singularly perturbed problem.
Some comparisons of difference schemes on meshes of Shishkin and Bakhvalov type.
Some converse theorems in the asymptotic theory of ordinary differential equations
Some properties of the discontinuous Galerkin method for one-dimensional singularly perturbed problems.