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

Year 2016, Volume: 29 Issue: 3, 645 - 650, 30.09.2016

Omer Acan

Abstract

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. 

 

Keywords

Rayleigh equation Periodic solutions; existence; uniqueness; coincidence degree

References

  • 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

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

Year 2016, Volume: 29 Issue: 3, 645 - 650, 30.09.2016

Omer Acan

Abstract

References

  • 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
There are 10 citations in total.

Details

Authors

Omer Acan

Publication Date September 30, 2016
Published in Issue Year 2016 Volume: 29 Issue: 3

Cite

APA Acan, O. (2016). EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF FORCED RAYLEIGH EQUATION. Gazi University Journal of Science, 29(3), 645-650.
AMA Acan O. EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF FORCED RAYLEIGH EQUATION. Gazi University Journal of Science. September 2016;29(3):645-650.
Chicago Acan, Omer. “EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF FORCED RAYLEIGH EQUATION”. Gazi University Journal of Science 29, no. 3 (September 2016): 645-50.
EndNote Acan O (September 1, 2016) EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF FORCED RAYLEIGH EQUATION. Gazi University Journal of Science 29 3 645–650.
IEEE O. Acan, “EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF FORCED RAYLEIGH EQUATION”, Gazi University Journal of Science, vol. 29, no. 3, pp. 645–650, 2016.
ISNAD Acan, Omer. “EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF FORCED RAYLEIGH EQUATION”. Gazi University Journal of Science 29/3 (September2016), 645-650.
JAMA Acan O. EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF FORCED RAYLEIGH EQUATION. Gazi University Journal of Science. 2016;29:645–650.
MLA Acan, Omer. “EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF FORCED RAYLEIGH EQUATION”. Gazi University Journal of Science, vol. 29, no. 3, 2016, pp. 645-50.
Vancouver Acan O. EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF FORCED RAYLEIGH EQUATION. Gazi University Journal of Science. 2016;29(3):645-50.