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Journal of the London Mathematical Society 2000 61(3):774-788; doi:10.1112/S002461070000870X
© 2000 by London Mathematical Society
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© The London Mathematical Society

The Existence and Multiplicity of Periodic Solutions for Duffing's Equation ü+g(u) = s+h(t)

Wang Zaihong

Department of Mathematics, Capital Normal University Beijing 100037, China, WangZh{at}mail.cnu.edu.cn

Received 16 September 1997.

The paper proves the existence and multiplicity of periodic solutions of the equation

ü+g(u) = s+h(t,)

where g:R↦R is of class C1, h:R↦R is continuous and 2{pi}-periodic, and s is a parameter.


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