On the Existence of Periodic Solutions for Scalar Second Order Differential Equations when only the Asymptotic Behaviour of the Potential is Known

Alessandro Fonda
1993 Proceedings of the American Mathematical Society  
Assuming only asymptotic conditions on the potential function, we prove the existence of periodic solutions for equations whose nonlinearity stays below the first curve of Fucik's spectrum.
doi:10.2307/2159926 fatcat:llabxltodfga5g56p7k2fdf3ea