Special Session 105: 

Solutions of delay differential equations

Rafael de la Llave
Georgia Institute of Technology
USA
Co-Author(s):    A. Casal, L. Corsi
Abstract:
We consider state dependent delay equations which are perturbations of differential equations. The effect of the dalay is affected by a small parameter. We show that, under mild non-degenracy conditions, it is possible to obtain Lindstedt series to all orders that give periodic or quasi-periodic solutons. These results can take as inputs of recently developed a-posteriori theorems proved by J. Gimeno, J. Yang and the author.