Solvability of second order weakly coupled systems with rapidly oscillating nonlinearities.

P. AMSTER

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS

WATAM PRESS

Año: 2011

1201-3390

We study the existence of periodic solutions for a nonlinear system of second order ordinary differential equations. Assuming suitable conditions, we prove the existence of at least one solution applying topological degree methods. Instead of a Nirenberg type condition, we shall assume that each coordinate of the nonlinearity satisfies a one-side Landesman-Lazer type condition, but it might present rapid oscillations on the other side.