On a generalization of Lazer-Leach conditions for a system of second order ODE's

Pablo Amster, Pablo De Nápoli

DOI: http://dx.doi.org/10.12775/TMNA.2009.003

Abstract


We study the existence of periodic solutions for a nonlinear
second order system of ordinary differential equations.
Assuming suitable Lazer-Leach type
conditions, we prove the existence of at least one solution applying
topological degree methods.

Keywords


Resonant systems; Lazer-Leach conditions; topological degree

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