Convergence in almost periodic cooperative systems with a first integral |
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| Authors: | Wenxian Shen Xiao-Qiang Zhao |
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| Institution: | Department of Mathematics, Auburn University, Auburn, Alabama 36849 ; Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7 |
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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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| Keywords: | Cooperative systems first integral almost periodic solutions skew-product semiflows |
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