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CONVERGENCE IN MONOTONE AND SUBHOMOGENEOUS DISCRETE DYNAMICAL SYSTEMS ON PRODUCT BANACH SPACES

Published online by Cambridge University Press:  13 August 2003

YI WANG  and
XIAO-QIANG ZHAO
YI WANG
Affiliation:
Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, P. R. Chinawangyi@mail.ustc.edu.cn Present address: Department of Mathematics, University of Turku, FIN-20014 Turku, Finland
XIAO-QIANG ZHAO
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NF A1C 5S7, Canadaxzhao@math.mun.ca
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Abstract

Global convergence is established in this paper for monotone and subhomogeneous discrete dynamical systems on product Banach spaces. This result is then used to obtain the asymptotic periodicity of solutions to a class of periodic and cooperative reaction-diffusion systems.

Keywords

37C6537C2535B4035B10
Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 5 , September 2003 , pp. 681 - 688
Copyright
© The London Mathematical Society 2003

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