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Periodic Solutions For a Kind of Neutral Rayleigh Equations With Variable Parameter

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Abstract

Employing the coincidence degree theory of Mawhin we obtain some existence results of periodic solutions for a type of neutral Rayleigh equation with variable parameter

$$((x(t) - c(t)x(t - \tau))'' + f(x'(t)) + g(x(t - \gamma(t))) = e(t).$$

It is worth noting that c(t) is no longer a constant which is different from the corresponding ones of past work. Furthermore, our results generalize corresponding work in the past.

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Authors and Affiliations

  1. Department of Mathematics, Huaiyin Normal University, Huaian, 223300, Jiangsu, People’s Republic ofChina

    Chuanzhi Bai & Bo Du

Authors
  1. Chuanzhi Bai
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  2. Bo Du
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Correspondence to Bo Du.

Additional information

This work was completed with the support of Natural Science Foundation of Jiangsu Education Office(11KJB110002).

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Bai, C., Du, B. Periodic Solutions For a Kind of Neutral Rayleigh Equations With Variable Parameter. Results. Math. 63, 567–580 (2013). https://doi.org/10.1007/s00025-011-0218-6

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  • DOI: https://doi.org/10.1007/s00025-011-0218-6

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