The Existence and Uniqueness of Periodic Solutions for A Kind of Forced Rayleigh Equation

EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF FORCED RAYLEIGH EQUATION

In this study, the coincidence degree theory has been used to determine new results on the existence and uniqueness of -periodic solutions for a type of Rayleigh equation.  

___

  • R. E. Gaines, J. Mawhin, Coincidence Degree and Nonlinear Differential Equations, in: Lecture Notes in Mathematics, vol. 568, Springer-Verlag, Berlin, New York, 1977.
  • K. Deimling, Nonlinear Functional Analysis, Springer, Berlin, 1985.
  • T. A. Burton, Stability and Periodic Solutions of Ordinary and Functional Differential Equations, Academic Press, Orland, FL, 1985.
  • Y. Li, L. Huang, New results of periodic solutions for forced Rayleigh-type equations, J.Comput. Appl. Math. 221 (1) (2008) 98-105.
  • L. Wang, J. Shao, New results of periodic solutions for a kind of forced Rayleigh-type equations, Nonlinear Anal. 11 (2010) 99-105
  • C. Huang, Y. He, L. Huang, W. Tan, New results on the periodic solutions for a kind of Rayleigh equation with two deviating arguments, Math. Comput. Modelling 46 (5-6) (2007) 604-611.
  • Y. Zhou, X. Tang, Periodic solutions for a kind of Rayleigh equation with a deviating argument, Comput. Math. Appl. 53 (2007) 825-830.
  • B. Liu, L. Huang, Periodic solutions for a kind of Rayleigh equation with a deviating argument, J. Math. Anal. Appl. 321 (2006) 491–500.
  • Y. Zhou, X. Tang, On existence of periodic solutions of a kind of Rayleigh equation with a deviating argument, Nonlinear Anal. 69 (2008) 2355-2361.
  • Y. Zhou, X. Tang, On existence of periodic solutions of Rayleigh equation of retarded type, J. Comput.Appl. Math. 203 (2007) 1-5