MULTIPLICITY OF PERIODIC SOLUTIONS OF DUFFING’S EQUATIONS WITH LIPSCHITZIAN CONDITION
Citation：
WANG Zaihong.MULTIPLICITY OF PERIODIC SOLUTIONS OF DUFFING’S EQUATIONS WITH LIPSCHITZIAN CONDITION[J].Chinese Annals of Mathematics B,2000,21(4):479~488
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Authors：
WANG Zaihong;
Abstract：
This paper deals with the existence and multiplicity of periodic solutions of Duffing equations $\ddot{x}+g(x)=p(t)$. The author proves an infinity of periodic solutions to the periodically forced nonlinear Duffing equations provided that g(x) satisfies the globally lipschitzian condition and the time-mapping satisfies the weaker oscillating property.
