On a galoisian approach to the splitting of separatrices
On a “Liapunov like” function for an equation with a complex-valued function
On a “mysterious” case of a quadratic Hamiltonian.
On a problem in complex oscillation theory of periodic second order linear differential equations and some related perturbation results.
On a Theorem of Gundersen and Laine.
On algebraic sets invariant by one-dimensional foliations on
We consider the problem of extending the result of J.-P. Jouanolou on the density of singular holomorphic foliations on without algebraic solutions to the case of foliations by curves on . We give an example of a foliation on with no invariant algebraic set (curve or surface) and prove that a dense set of foliations admits no invariant algebraic set.
On an ODE Relevant for the General Theory of the Hyperbolic Cauchy Problem
2000 Mathematics Subject Classification: 34E20, 35L80, 35L15.In this paper we study an ODE in the complex plane. This is a key step in the search of new necessary conditions for the well posedness of the Cauchy Problem for hyperbolic operators with double characteristics.
On analytic and meromorphic functions satisfying nth order algebraic differential equations in regions of the plane.
On asymptotic integrations of
On bang-bang principles in linear-quadratic control problems for generalized analytic functions
On Briot-Bouquet Differential Equations and a Question of Einar Hille.
On Certain Properties of Soloutions of Second-Order Linear Differential Equations.
On Clenshaws's Method and a Generalisation to Faber Series.
On commuting differential operators.
On commuting matrix differential operators.
On complex oscillation property of solutions for higher-order periodic differential equations.
On deficiencies of small functions for Painlevé transcendents of the fourth kind.
On differential euqations and functional equations.
On differential independence of the Riemann zeta function and the Euler gamma function
On Floquet eigenvalue problems for first order differential systems in the complex domain.