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New results on periodic solutions for a kind of Rayleigh equation

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Abstract

The paper deals with the existence of periodic solutions for a kind of non-autonomous time-delay Rayleigh equation. With the continuation theorem of the coincidence degree and a priori estimates, some new results on the existence of periodic solutions for this kind of Rayleigh equation are established.

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Authors and Affiliations

  1. School of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan, 410083, P.R.China

    Mei-Lan Tang & Xin-Ge Liu

  2. School of Materials Science and Engineering, Central South University, Changsha, Hunan, 410083, P.R.China

    Xin-Bi Liu

Authors
  1. Mei-Lan Tang
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  2. Xin-Ge Liu
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  3. Xin-Bi Liu
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Corresponding author

Correspondence to Xin-Ge Liu.

Additional information

This work is supported by Science and Technology Plan of Hunan Province, China under Grant No. 2008FJ3143 and the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of Hunan Province.

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Tang, ML., Liu, XG. & Liu, XB. New results on periodic solutions for a kind of Rayleigh equation. Appl Math 54, 79–85 (2009). https://doi.org/10.1007/s10492-009-0006-8

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  • DOI: https://doi.org/10.1007/s10492-009-0006-8

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