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
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
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
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 (September 2016), 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.