Étude mathématique d'un modèle de flamme laminaire sans température d'ignition : I - cas scalaire
Étude numérique des solutions périodiques d'une équation du second ordre
Euler approximation of nonconvex discontinuous differential inclusions.
Euler case for a general fourth-order differential equation.
Euler-Lagrange inclusions and existence of minimizers for a class of non-coercive variational problems.
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.
Even order differential equations with measures as coefficients
Everted equilibria of a spherical cap : a singular perturbation method
Evolution equations in ostensible metric spaces: First-order evolutions of nonsmooth sets with nonlocal terms
Similarly to quasidifferential equations of Panasyuk, the so-called mutational equations of Aubin provide a generalization of ordinary differential equations to locally compact metric spaces. Here we present their extension to a nonempty set with a possibly nonsymmetric distance. In spite of lacking any linear structures, a distribution-like approach leads to so-called right-hand forward solutions. These extensions are mainly motivated by compact subsets of the Euclidean space...
Evolution inclusions in non separable Banach spaces
We study a Cauchy problem for non-convex valued evolution inclusions in non separable Banach spaces under Filippov type assumptions. We establish existence and relaxation theorems.
Evolution inclusions of the subdifferential type depending on a parameter.
Evolution inclusions of the subdifferential type depending on a parameter
In this paper we study evolution inclusions generated by time dependent convex subdifferentials, with the orientor field depending on a parameter. Under reasonable hypotheses on the data, we show that the solution set is both Vietoris and Hausdorff metric continuous in . Using these results, we study the variational stability of a class of nonlinear parabolic optimal control problems.
Evolution Problems and Minimizing Movements
We recall the definition of Minimizing Movements, suggested by E. De Giorgi, and we consider some applications to evolution problems. With regards to ordinary differential equations, we prove in particular a generalization of maximal slope curves theory to arbitrary metric spaces. On the other hand we present a unifying framework in which some recent conjectures about partial differential equations can be treated and solved. At the end we consider some open problems.
Evolution problems associated with nonconvex closed moving sets with bounded variation.
Exact solution of impulse response to a class of fractional oscillators and its stability.
Exact solutions for certain nonlinear autonomous ordinary differential equations of the second order and families of two-dimensional autonomous systems.
Exact solutions of the semi-infinite Toda lattice with applications to the inverse spectral problem.
Examples of bifurcation of periodic solutions to variational inequalities in
A bifurcation problem for variational inequalities is studied, where is a closed convex cone in , , is a matrix, is a small perturbation, a real parameter. The main goal of the paper is to simplify the assumptions of the abstract results concerning the existence of a bifurcation of periodic solutions developed in the previous paper and to give examples in more than three dimensional case.
Exceptional Values of Solutions of Linear Differential Equations.
Existence and approximation of solutions of second order nonlinear Neumann problems.