Explication des irrégularités observées dans le mouvement d'Uranus, fondée sur l'hypothèse des perturbations causées par une planète plus éloignée; comprenant une détermination de la masse, de l'orbite et de la position du corps perturbant.
Explicit Solutions of Classical Generalized Toda Models.
Exponential stability of Timoshenko beam system with delay terms in boundary feedbacks*
In this paper, the stability of a Timoshenko beam with time delays in the boundary input is studied. The system is fixed at the left end, and at the other end there are feedback controllers, in which time delays exist. We prove that this closed loop system is well-posed. By the complete spectral analysis, we show that there is a sequence of eigenvectors and generalized eigenvectors of the system operator that forms a Riesz basis for the state Hilbert space. Hence the system satisfies the spectrum...
Exponential stability of Timoshenko beam system with delay terms in boundary feedbacks*
In this paper, the stability of a Timoshenko beam with time delays in the boundary input is studied. The system is fixed at the left end, and at the other end there are feedback controllers, in which time delays exist. We prove that this closed loop system is well-posed. By the complete spectral analysis, we show that there is a sequence of eigenvectors and generalized eigenvectors of the system operator that forms a Riesz basis for the state Hilbert space. Hence the system satisfies the spectrum...
Exponentially long time stability for non-linearizable analytic germs of .
We study the Siegel-Schröder center problem on the linearization of analytic germs of diffeomorphisms in several complex variables, in the Gevrey-, category. We introduce a new arithmetical condition of Bruno type on the linear part of the given germ, which ensures the existence of a Gevrey- formal linearization. We use this fact to prove the effective stability, i.e. stability for finite but long time, of neighborhoods of the origin, for the analytic germ.
Exposition, d'après les principes de Jacobi, de la méthode suivie par M. Delaunay dans sa Théorie du Mouvement de la Lune autour de la Terre; extension de la méthode.
Exposition de la méthode de M. Gyldén pour le développement des perturbations des comètes
Extended soliton solutions in an effective action for Yang-Mills theory.
Extension des relations de Frenet aux courbes à points irréguliers
Extrait d'une Lettre à M. Hermite, relative à l'application des fonctions elliptiques à la théorie des perturbations.