-semigroups of linear operators on some ultrametric Banach spaces.
-approximate solutions of second-order singular ordinary differential equations.
asymptotic equivalence for some functional equation of Volterra type.
-integrability test for discrete equations via multiple scale expansions.
-conjugacy of holomorphic flows near a singularity
-symmetries and reduction of equations without Lie point symmetries.
C¹-maps having hyperbolic periodic points
We show that the C¹-interior of the set of maps satisfying the following conditions: (i) periodic points are hyperbolic, (ii) singular points belonging to the nonwandering set are sinks, coincides with the set of Axiom A maps having the no cycle property.
Calcul des couches limites dans une membrane porteuse de charges électriques fixes
Calcul symbolique et calcul intégral de Lagrange à Cauchy
Dans un mémoire publié en 1774, Lagrange utilise des méthodes reposant sur l’analogie des puissances positives et des différences, et des puissances négatives et des sommes, qui lui permettent, notamment, d’obtenir diverses formules d’intégration. D’autres auteurs s’engagent alors dans cette voie. Les problèmes de calcul intégral jouent un rôle important dans le développement de diverses formes de calcul symbolique et celui-ci fait la preuve de son efficacité dans ce domaine : il permet de généraliser...
C*-Algebras of Singular Integral operators on the line realted to singular Sturm-Liouville problems.
Calogero-Moser spaces and an adelic -algebra
We introduce a Lie algebra, which we call adelic -algebra. Then we construct a natural bosonic representation and show that the points of the Calogero-Moser spaces are in 1:1 correspondence with the tau-functions in this representation.
Canards et enlacements
Canonical form transformation of second order differential equations with Lie symmetries.
Canonical forms of ordinary linear differential equations
Caractérisation des dérivées logarithmiques
Caratheodory perturbation of a second-order differential inclusion with constraints.
Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces
In this paper, we present the existence result for Carathéodory type solutions for the nonlinear Sturm- Liouville boundary value problem (SLBVP) in Banach spaces on an arbitrary time scale. For this purpose, we introduce an equivalent integral operator to the SLBVP by means of Green’s function on an appropriate set. By imposing the regularity conditions expressed in terms of Kuratowski measure of noncompactness, we prove the existence of the fixed points of the equivalent integral operator. Mönch’s...
Cases when the use of the analytic method for solving differential equations is better than the use of numerical ones
Categorial approach to global transformations of the -th order linear differential equations
Cauchy atlas on the manifold of all maximal solutions of an ODE system.