Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF RAYLEIGH EQUATION WITH A DEVIATING ARGUMENT

  • Zhou, Qiyuan (DEPARTMENT OF MATHEMATICS HUNAN UNIVERSITY OF ARTS AND SCIENCE) ;
  • Xiao, Bing (DEPARTMENT OF MATHEMATICS HUNAN UNIVERSITY OF ARTS AND SCIENCE) ;
  • Yu, Yuehua (DEPARTMENT OF MATHEMATICS HUNAN UNIVERSITY OF ARTS AND SCIENCE) ;
  • Liu, Bingwen (DEPARTMENT OF MATHEMATICS HUNAN UNIVERSITY OF ARTS AND SCIENCE) ;
  • Huang, Lihong (COLLEGE OF MATHEMATICS AND ECONOMETRICS HUNAN UNIVERSITY)
  • Published : 2007.05.31
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Abstract

In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Rayleigh equation with a deviating argument of the form $x'+f(x'(t))+g(t,\;x(t-\tau(t)))=p(t)$.

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References

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