Add to ORKGWe solve Briot and Bouquet problem (1856) on the existence of non-monodromic (multivalued) solutions for singularities of differential equations in the complex domain. The solution is an application of hedgehog dynamics for indifferent irrational fixed points. We present an important simplification by only using a local hedgehog for which we give a simpler and direct construction of quasi-invariant curves which does not rely on complex renormalization
This book concerns the question of how the solution of a system of ODE's varies when the differentia...
Boundary-value problems for first order PDEs are locally considered, when the classical sufficient c...
This thesis is devoted to show various applications of fixed point theorems on dif- ferential equati...
We solve Briot and Bouquet problem (1856) on the existence of non-monodromic (multivalued) solutions...
International audienceIn the complex domain, one can integrate (solve) holomorphic ordinary differen...
AbstractAn algebraizable singularity is a germ of a singular holomorphic foliation which can be defi...
Let X be a germ of holomorphic vector field at 0 2 Cn and let E be a linear subspace of Cn which is ...
AbstractLet p(z) be analytic in the unit disc D, let g(z) be convex in D, let ƒ(z) be analytic in D ...
AbstractIn this paper, global closed form solutions of multi-parameter families of second order line...
AbstractLet p(z) be analytic in the unit disc D, let g(z) be convex in D, let ƒ(z) be analytic in D ...
In this article we describe some qualitative and geometric aspects of nonsmooth dynamical systems th...
We prove new non-resonance conditions for boundary value problems for two dimensional systems of ord...
AbstractIn this paper we present a point of view which allows one to interpret the solutions of a no...
For differential equations P (y(k), y) = 0, where P is a polynomial, we prove that all meromorphic ...
This thesis addresses the existence and stability of localised solutions in some nonstandard systems...
This book concerns the question of how the solution of a system of ODE's varies when the differentia...
Boundary-value problems for first order PDEs are locally considered, when the classical sufficient c...
This thesis is devoted to show various applications of fixed point theorems on dif- ferential equati...
We solve Briot and Bouquet problem (1856) on the existence of non-monodromic (multivalued) solutions...
International audienceIn the complex domain, one can integrate (solve) holomorphic ordinary differen...
AbstractAn algebraizable singularity is a germ of a singular holomorphic foliation which can be defi...
Let X be a germ of holomorphic vector field at 0 2 Cn and let E be a linear subspace of Cn which is ...
AbstractLet p(z) be analytic in the unit disc D, let g(z) be convex in D, let ƒ(z) be analytic in D ...
AbstractIn this paper, global closed form solutions of multi-parameter families of second order line...
AbstractLet p(z) be analytic in the unit disc D, let g(z) be convex in D, let ƒ(z) be analytic in D ...
In this article we describe some qualitative and geometric aspects of nonsmooth dynamical systems th...
We prove new non-resonance conditions for boundary value problems for two dimensional systems of ord...
AbstractIn this paper we present a point of view which allows one to interpret the solutions of a no...
For differential equations P (y(k), y) = 0, where P is a polynomial, we prove that all meromorphic ...
This thesis addresses the existence and stability of localised solutions in some nonstandard systems...
This book concerns the question of how the solution of a system of ODE's varies when the differentia...
Boundary-value problems for first order PDEs are locally considered, when the classical sufficient c...
This thesis is devoted to show various applications of fixed point theorems on dif- ferential equati...