Abstract
The paper establishes the existence of a nonconstant periodic solution of a general second order nonautonomous Hamiltonian system with discontinuous nonlinearities. The multiplicity of solutions is also studied.
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Adly, S., Motreanu, D. Periodic Solutions for Second-Order Differential Equations involving Nonconvex Superpotentials. Journal of Global Optimization 17, 9–17 (2000). https://doi.org/10.1023/A:1026530221960
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DOI: https://doi.org/10.1023/A:1026530221960