MULTIPLICITY OF PERIODICSOLUTIONS OF DUFFING'S EQUATIONSWITH LIPSCHITZIAN CONDITIONMULTIPLICITY OF PERIODICSOLUTIONS OF DUFFING'S EQUATIONS WITH LIPSCHITZIAN CONDITION

作     者：WANG ZAIHONG (Department of Mathematics, Capital Normal University, Beijing 100037, China.) WANG ZAIHONG (Department of Mathematics, Capital Normal University, Beijing 100037, China.)

作者机构：Department of Mathematics Capital Normal University Beijing 100037 China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2000年第21卷第4期

页      面：479-488页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Periodic solution Time mapping Poincare-Birkhoff twist theorem 

摘      要：This paper deals with the existence and multiplicity of periodic solutions of Duffing equations 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.