On the cardinality of solutions of multilinear differential equations and applications.
On the solution of some simple fractional differential equations.
On the solutions of -th order nonlinear differential equation in
On those ordinary differential equations that are solved exactly by the improved Euler method
As a numerical method for solving ordinary differential equations , the improved Euler method is not assumed to give exact solutions. In this paper we classify all cases where this method gives the exact solution for all initial conditions. We reduce an infinite system of partial differential equations for to a finite system that is sufficient and necessary for the improved Euler method to give the exact solution. The improved Euler method is the simplest explicit second order Runge-Kutta method....
On weak non-linearity of models of physical systems
Pathway complexity of model virus capsid assembly systems.
Perturbations singulières des équations différentielles ordinaires et analyse non-standard
Pole placement for generalized MFD's
Polynomial flows on
Positive solutions and oscillation of higher order neutral difference equations
Relations between generalized solutions of ordinary differential equations
Remarques sur les solutions générales des équations différentielles
Réversibilité et classification des centres nilpotents
Nous considérons un germe de 1-forme analytique dans dont le 1-jet est . Nous montrons que si l’équation définit un centre (i.e toutes les courbes solutions sont des cycles) il existe une involution analytique de préservant le portrait de phase du système. Géométriquement ceci signifie que les centres analytiques nilpotents sont obtenus par image réciproque par des applications pli. Un théorème de conjugaison équivariante permet d’obtenir une classification complète de ces centres.
Some operational properties of the H-R operator
Substitution method for generalized linear differential equations
The generalized linear differential equation where and the matrices are regular, can be transformed using the notion of a logarithimc prolongation along an increasing function. This method enables to derive various results about generalized LDE from the well-known properties of ordinary LDE. As an example, the variational stability of the generalized LDE is investigated.
Sugli zeri delle soluzioni di una classe di equazioni differenziali lineari del secondo ordine
Sulla diseguaglianza di Wirtinger
Sur un opérateur différentiel général
Symmetries and solvability of linear differential equations.
The canonical form theorem, applied to a certain group of symmetry transformations of certain Fuchsian equations, leads automatically to the integration of them. The result can be extended to any n-order differential equation possesing a certain pointlike group of symmetries with a maximal abelian Lie-subgroup of order c.
The basic properties of phase matrices of linear differential systems