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Convergence in almost periodic cooperative systems with a first integral
Author(s):
Wenxian
Shen;
Xiao-Qiang
Zhao
Journal:
Proc. Amer. Math. Soc.
133
(2005),
203-212.
MSC (2000):
Primary 34C12, 34C27, 37B55
Posted:
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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Additional Information:
Wenxian
Shen
Affiliation:
Department of Mathematics, Auburn University, Auburn, Alabama 36849
Email:
ws@math.auburn.edu
Xiao-Qiang
Zhao
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7
Email:
xzhao@math.mun.ca
DOI:
10.1090/S0002-9939-04-07556-2
PII:
S 0002-9939(04)07556-2
Keywords:
Cooperative systems,
first integral,
almost periodic solutions,
skew-product semiflows
Received by editor(s):
June 17, 2003
Received by editor(s) in revised form:
September 24, 2003
Posted:
June 18, 2004
Additional Notes:
The first author's research was supported in part by NSF grant DMS-0103381
The second author's research was supported in part by the NSERC of Canada
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2004,
American Mathematical Society
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