Periodic solutions of the second order differential equations with Lipschitzian condition

Wang, Zaihong

doi:10.1090/S0002-9939-98-04772-8

Periodic solutions of the second order differential equations with Lipschitzian condition
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Proc. Amer. Math. Soc. 126 (1998), 2267-2276 Request permission

Abstract:

In this paper, we prove an infinity of periodic solutions to the periodically forced nonlinear Duffing equation $\ddot {x}+g(x)=p(t)$.

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