EXISTENCE OF ALMOST PERIODIC SOLUTIONS OF A NONLINEAR SYSTEM

N. H. Zhao; Y. Xia; Wenxia Liu; P. J. Y. Wong; R. T. Wang

doi:10.11948/2013022

2013 Volume 3 Issue 3

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N. H. Zhao, Y. Xia, Wenxia Liu, P. J. Y. Wong, R. T. Wang. EXISTENCE OF ALMOST PERIODIC SOLUTIONS OF A NONLINEAR SYSTEM[J]. Journal of Applied Analysis & Computation, 2013, 3(3): 301-306. doi: 10.11948/2013022

Citation:

N. H. Zhao, Y. Xia, Wenxia Liu, P. J. Y. Wong, R. T. Wang. EXISTENCE OF ALMOST PERIODIC SOLUTIONS OF A NONLINEAR SYSTEM[J]. Journal of Applied Analysis & Computation, 2013, 3(3): 301-306. doi: 10.11948/2013022

EXISTENCE OF ALMOST PERIODIC SOLUTIONS OF A NONLINEAR SYSTEM

1 Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China;
2 School of Electrical and Electronic Engineering, Nanyang Technological University, 639798, Singapore

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Abstract

Abstract

This paper considers the existence of almost periodic solutions of a N-dimension non-autonomous Lotka-Volterra model with delays. The method is based on exponential dichotomy and Schauder fixed point theorem. The obtained results generalize some previously known ones.
- Fixed point theorem /
- exponential dichotomy /
- periodic solutions /
- delayed
MSC: 34D10;34C25;34D23;34K14;34K20

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References

[1]	S. Ahmad, On almost periodic solutions of the competing species problems, Proc. Amer. Math. Soc, 102(1988), 855-865. Google Scholar
[2]	J. Chu and P. J. Torres, Applications of Schauder's fixed point theorem to singular differential equations, Bull. London Math. Soc.,39(2007), 653-660. Google Scholar
[3]	A. M. Fink, Almost Periodic Differential Equation, Springer-Verlag, Berlin, Heidleberg, New York, 1974. Google Scholar
[4]	K. Gopalsamy, Global asymptotic stability in a almost periodic Lotka-Volterra system, J. Aust. Math. Soc. Ser. B, 27(1986), 346-360. Google Scholar
[5]	J. K. Hale, Ordinary Differential Equations, Krieger, Huntington, 1980. Google Scholar
[6]	Y. Hamaya, Periodic solutions of nonlinear integro-differential equations, Tohoku. Math. J., 41(1989), 105-116. Google Scholar
[7]	X. Meng and L. Chen, Almost periodic solution of non-autonomous LotkaVolterra predator-prey dispersal system with delays, J. Theoret. Biol. 243(2006), 562-574. Google Scholar
[8]	S. MuRakami, Almost periodic solutions of a system of integro-differential equations, Tohoku. Math. J., 39(1987), 71-79. Google Scholar
[9]	Z. Teng, Permanence and stability of Lotka-Volterra type n-species competitive systems, Acta Math. Sinica, 45(2002), 905-918. Google Scholar
[10]	T. Yoshizawa, Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions, Springer, New York, 1975. Google Scholar