Sur les infinis des solutions de certaines equations differentielles
Sur un théorème de Dulac
Nous considérons les champs de vecteurs analytiques de de partie linéaire diagonale non nulle et dont les valeurs propres vérifient des relations de résonances toutes engendrées par une seule relation pour un certain vecteur non nul. Nous montrons que, dans un système de coordonnées locales holomorphes au voisinages de , de tels champs de vecteurs se “mettent" sous une forme normale partielle, tout en exhibant des variétés invariantes, si l’on fait une hypothèse de petits diviseurs diophantiens....
Sur une équation différentielle.
Sur une équation différentielle.
Sur une équation différentielle à indices fractionnaires.
Suto's method applied to a problem of Färe and Mitchell.
Suto's method applied to a problem of Färe and Mitchell. (Summary).
Symmetry algebras and normal forms of third order ordinary differential equations.
Testing the method of multiple scales and the averaging principle for model parameter estimation of quasiperiodic two time-scale models
Some dynamical systems are characterized by more than one time-scale, e.g. two well separated time-scales are typical for quasiperiodic systems. The aim of this paper is to show how singular perturbation methods based on the slow-fast decomposition can serve for an enhanced parameter estimation when the slowly changing features are rigorously treated. Although the ultimate goal is to reduce the standard error for the estimated parameters, here we test two methods for numerical approximations of...
The application of a class of one-step methods to solve the initial value problem
The Application of Rosenbrock-Wanner Type Methods with Stepsize Control in Differential-Algebraic Equations.
The asymptotic properties of solutions of differential system of the form , in some neighbourhood of a singular point
The behavior of solutions of nonlinear differential equations in Hilbert space. I.
The boundary curves of three classes of the second order nonlinear ordinary differential equations
The boundary value problems for ordinary non-linear differential and difference equations of the fourth order
The constants of the Volterra derivation
The ring of constants of the Volterra derivation is found. Confirming a conjecture of Zielinski, it is always a polynomial ring.
The Drazin inverse in multibody system dynamics.
The dynamics of the drum mower blade
The drum mower blade is freely rotatable around the fastening pin. During the operation of the mower, the centrifugal force and the resistance of the mowing material act on it. The presented article studies the effect of these forces on the behavior of the blade, in particular its oscillation around the steady state, depending on the properties of the cut material.
The Equivalence Of Certain Linear And Nonlinear Differential Equations Of N-th Order
The generalized Turner-Bradley-Kirk-Pruitt equation.