PERIODIC SOLUTION FOR HIGH-ORDER DIFFERENTIAL SYSTEM

Zhibo Cheng; Jingli Ren

doi:10.11948/2013017

2013 Volume 3 Issue 3

Article Contents

Article navigation > Journal of Applied Analysis & Computation > 2013 > 3(3): 239-249

Next Article Previous Article

Zhibo Cheng, Jingli Ren. PERIODIC SOLUTION FOR HIGH-ORDER DIFFERENTIAL SYSTEM[J]. Journal of Applied Analysis & Computation, 2013, 3(3): 239-249. doi: 10.11948/2013017

Citation:

Zhibo Cheng, Jingli Ren. PERIODIC SOLUTION FOR HIGH-ORDER DIFFERENTIAL SYSTEM[J]. Journal of Applied Analysis & Computation, 2013, 3(3): 239-249. doi: 10.11948/2013017

PERIODIC SOLUTION FOR HIGH-ORDER DIFFERENTIAL SYSTEM

Zhibo Cheng¹,
Jingli Ren²

1 School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China;
2 School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China

Fund Project:

Abstract

Abstract

Sufficient conditions are presented for the existence and stability of periodic solutions for a high-order differential system. Besides, an example is given to illustrate the result.
- High-order /
- differential system /
- periodic solution /
- existence /
- stability
MSC: 34C25;34D20

FullText(HTML)

References

[1]	R. Gaines and J. Mawhin, Coincidence Degree and Nonlinear Differential Equation, Springer, Berlin, 1977. Google Scholar
[2]	P. Glendinning, Stablity, Instability and Chaos:an introduction to the theory of nonlinear differential equations, Cambridge University Press, UK, 1994. Google Scholar
[3]	Y. Li, Positive perriodic solutions of periodic neutral Lotka-Volterra system with state dependent delay, J. Math. Anal. Appl., 330(2007), 1347-1362. Google Scholar
[4]	W. Liu, J. Zhang and T. Chen, Anti-symmetric periodic solutions for the third order differential systems, Appl. Math. Lett., 22(2009), 668-673. Google Scholar
[5]	B. Lisena, Periodic solution of competition systems with delay by an average approach, Nonlinear Anal., 71(2009), 340-345. Google Scholar
[6]	S. Lu and W. Gao, Periodic solutions for a kind of second-order neutral differential systems with deviating arguments, Appl. Math. Comput., 156(2004), 719-732. Google Scholar
[7]	K. Wang and S. Lu, The existence, uniqueness and global attractivity of periodic solution for a type of neutral functional differential system with delays, J. Math. Anal. Appl., 335(2007), 808-818. Google Scholar
[8]	J. Wu and Z. Wang, Positive periodic solutions of second-order nonlinear differential systems with two parameters, Comput. Math. Appl., 56(2008), 43-59. Google Scholar
[9]	X. Yang and K. Lo, Existence and uniqueness of periodic solution for a class of differential systems, J. Math. Anal. Appl., 327(2007), 36-46. Google Scholar
[10]	Z. Yang and H. Tang, Four positive periodic solutions for the first order differential system, J. Math. Anal. Appl., 332(2007), 123-136. Google Scholar
[11]	M. Zhang, Nonuniform nonresonance at the first eigenvalue of the p-Laplacian, Nonlinear Anal., 29(1997), 41-51. Google Scholar