A Floquet-Liapunov theorem in Fréchet spaces
A methodology for the numerical computation of normal forms, centre manifolds and first integrals of Hamiltonian systems.
A new proof of multisummability of formal solutions of non linear meromorphic differential equations
We give a new proof of multisummability of formal power series solutions of a non linear meromorphic differential equation. We use the recent Malgrange-Ramis definition of multisummability. The first proof of the main result is due to B. Braaksma. Our method of proof is very different: Braaksma used Écalle definition of multisummability and Laplace transform. Starting from a preliminary normal form of the differential equationthe idea of our proof is to interpret a formal power series solution...
A note on higher monotonicity properties of certain Sturm Liouville functions
A note on higher monotonicity properties of certain Sturm-Liouville functions. III
A note on linear differential equations of the second order with the same basic central dispersion of the first kind
A note on the reducibility of linear differential equations with quasiperiodic coefficients.
A note to pointwise transformations of linear quasi-differential equations
A remark to the Floquet theorem for systems of linear differential equations
A Role of Abel's Equation in the Stabitity Theory of Differential Equations
A vector functional equation and linear differential equations.
A weak invariance principle and asymptotic stability for evolution equations with bounded generators.
Adjungierte und selbstadjungierte lineare Differentialgleichungen
Algebraic properties of phases of the differential equation
Algebraical loops and transformation of variables
Alternative analysis generated by a differential equation.
Amplitudes of linear oscillations determined by linear homogenous differential equation of the second order and Liouville-Besge formulae
An abstract existence result and its applications.
An algorithm for model reduction in large electric power systems.
Analysis of singularities and of integrability of ODE's by algorithms of Power Geometry
Here we present basic ideas and algorithms of Power Geometry and give a survey of some of its applications. In Section 2, we consider one generic ordinary differential equation and demonstrate how to find asymptotic forms and asymptotic expansions of its solutions. In Section 3, we demonstrate how to find expansions of solutions to Painlevé equations by this method, and we analyze singularities of plane oscillations of a satellite on an elliptic orbit. In Section 4, we consider the problem of local...