Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (9): 1105-1108.

• 论文 • 上一篇    

A SIMPLIFIED PROOF TO A THEOREM BY DING TONG-REN ON PERIODIC SOLUTIONS OF DUFFING EQUATIONS

董玉君1,2   

  1. 1. Department of Mathematics, Nanjing Normal University, Nanjing 210097, P R China;
    2. Nankai Institute of Mathematics, Nankai University, Tianjin 300071, P R China
  • 收稿日期:2000-01-12 修回日期:2001-04-20 出版日期:2001-09-18 发布日期:2001-09-18

A SIMPLIFIED PROOF TO A THEOREM BY DING TONG-REN ON PERIODIC SOLUTIONS OF DUFFING EQUATIONS

DONG Yu-jun1,2   

  1. 1. Department of Mathematics, Nanjing Normal University, Nanjing 210097, P R China;
    2. Nankai Institute of Mathematics, Nankai University, Tianjin 300071, P R China
  • Received:2000-01-12 Revised:2001-04-20 Online:2001-09-18 Published:2001-09-18

摘要: 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.

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.

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