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Periodic Solutions of Second Order Differential Equations with Discontinuous Nonlinearities
Authors:Mei-Yue Jiang
Institution:(1) LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China
Abstract:We consider the periodic solutions of
$$-\ddot x =f(t,x)$$
with f being periodic in t and discontinuous in x. Some results of periodic solutions for continuous nonlinearities are generalized via the critical point theorems for locally Lipschitz functionals.
Keywords:Periodic solutions  discontinuous nonlinearities
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