Special Session 146: Nonlinear differential equations: control, delay, and boundary value problems

Periodic solutions for second order time and state-dependent delay equations with a non-asymptotic condition
Pierluigi Benevieri
University of S\~ao Paulo
Brazil
Co-Author(s):    
Abstract:
We investigate the existence of periodic solutions, of a given period $\o$, to a class of non-autonomous second order differential equations with time and state-dependent delay. We assume that the associated linear part contains a friction term and the nonlinearity satifies a non-asymptotic condition. We present some applications to superlinear problems and to a sunflower-type equation with variable delay. The approach is topological, based on Mawhin`s coincidence degree. This is a joint work with Pablo Amster