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Periodic solutions of generalized Liénard equations with a p-Laplacian-like operator*

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Abstract.

In this paper, sufficient conditions are established to guarantee the existence of at least one periodic solution to a generalized Liénard equation with a p-Laplacian-like operator. Generalized polar coordinates are employed in our proof.

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Authors and Affiliations

  1. Department of Mathematics, Tianjin University of Finance and Economics, Tianjin, 300222, P.R. CHINA

    Youyu Wang

  2. Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan, 30043, R.O. CHINA

    Sui Sun Cheng

  3. Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, P.R. CHINA

    Weigao Ge

Authors
  1. Youyu Wang
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  2. Sui Sun Cheng
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  3. Weigao Ge
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Corresponding author

Correspondence to Youyu Wang.

Additional information

*The project is supported by the National Natural Science Foundation of China (10671012).

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Wang, Y., Cheng, S.S. & Ge, W. Periodic solutions of generalized Liénard equations with a p-Laplacian-like operator*. Bull Braz Math Soc, New Series 39, 21–43 (2008). https://doi.org/10.1007/s00574-008-0070-9

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  • DOI: https://doi.org/10.1007/s00574-008-0070-9

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