Resonance and Landesman-Lazer conditions for first order systems in R^2
AbstractThe first part of the paper surveys the concept of resonance for T-periodic nonlinear problems. In the second part, some new results about existence conditions for nonlinear planar systems are presented. In particular, the Landesman-Lazer conditions are generalized to systems in R^2 where the nonlinearity interacts with two resonant Hamiltonians. Such results apply to second order equations, generalizing previous theorems by Fabry  (for the undamped case), and Frederickson-Lazer  (for
the case with friction). The results have been obtained with A. Fonda, and have been published in .
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