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A Simplified Proof to a Theorem by Ding Tong-Ren on Periodic Solutions of Duffing Equations
Authors:Yu-jun Dong
Institution:Department of Mathematics, Nanjing Normal University, Nanjing 210097, P R China;Nankai Institute of Mathematics, Nankai University, Tianjin 300071, P R China
Abstract:In 1982, DING Tong_ren gave a basic theorem about existence of periodic solutions of Duffing equations with double resonance. A simplified proof will be given by making use of the Leray_Schauder principle.
Keywords:periodic solutions  Duffing equations  Leray_Schauder principle
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