Convergence in almost periodic cooperative systems with a first integral

Shen, Wenxian; Zhao, Xiao-Qiang

doi:10.1090/S0002-9939-04-07556-2

Convergence in almost periodic cooperative systems with a first integral
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by Wenxian Shen and Xiao-Qiang Zhao

Proc. Amer. Math. Soc. 133 (2005), 203-212

DOI: https://doi.org/10.1090/S0002-9939-04-07556-2

Published electronically: June 18, 2004

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Abstract:

This paper is to investigate the asymptotic dynamics in almost periodic cooperative systems with a first integral. By appealing to the theory of skew-product semiflows we establish the asymptotic almost periodicity of bounded solutions to such systems, which extends the existing convergence results for time independent and periodic cooperative systems with a first integral and proves a conjecture of B. Tang, Y. Kuang and H. Smith in SIAM J. Math. Anal., 24 (1993), 1331-1339.

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