Abstract.
We consider a class of singular nonautonomous second order differential equations. We prove the existence of at least one periodic solution. We use a variational approach based on the mountain pass theorem.
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Boucherif, A., Daoudi-Merzagui, N. Periodic solutions of singular nonautonomous second order differential equations. Nonlinear differ. equ. appl. 15, 147–158 (2008). https://doi.org/10.1007/s00030-007-7005-9
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DOI: https://doi.org/10.1007/s00030-007-7005-9