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A Simplified Proof to a Theorem by Ding Tong-Ren on Periodic Solutions of Duffing Equations

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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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References

  1. DING Tong-ren. Nonlinear oscillations at a point of resonance[J]. Science of China Section A, 1982,12(1):1–13.

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  2. Habets P, Metzen G. Existence of periodic solutions of Duffing equations[J]. J Differential Equations,1989,78(1):1–32.

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  3. Asakawa H. Landesman-Lazer type problems for Fucik spectrum[J]. Nonlinear Anal,1996,26(3):407–414.

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Authors and Affiliations

  1. Department of Mathematics, Nanjing Normal University, Nanjing, 210097, P R China

    Yu-jun Dong

  2. Nankai Institute of Mathematics, Nankai University, Tianjin, 300071, P R China

    Yu-jun Dong

Authors
  1. Yu-jun Dong
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Dong, Yj. A Simplified Proof to a Theorem by Ding Tong-Ren on Periodic Solutions of Duffing Equations. Applied Mathematics and Mechanics 22, 1105–1108 (2001). https://doi.org/10.1023/A:1016328812958

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  • DOI: https://doi.org/10.1023/A:1016328812958

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