Forced oscillations for delay motion equations on manifolds

Abstract

We prove an existence result for $T$-periodic solutions of a $T$-periodic second order delay differential equation on a boundaryless compact manifold with nonzero Euler-Poincare characteristic. The approach is based on an existence result recently obtained by the authors for first order delay differential equations on compact manifolds with boundary.

Keywords

• Delay differential equations
• Forced oscillations
• periodic solutions
• compact manifolds
• Euler-Poincare characteristic
• fixed point index.