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Convergence in Monotone and Subhomogeneous Discrete Dynamical Systems on Product Banach Spaces
Author(s) -
Wang Yi,
Zhao XiaoQiang
Publication year - 2003
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609303002273
Subject(s) - mathematics , monotone polygon , banach space , convergence (economics) , product (mathematics) , class (philosophy) , pure mathematics , dynamical systems theory , discrete mathematics , computer science , geometry , physics , quantum mechanics , artificial intelligence , economics , economic growth
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. 2000 Mathematics Subject Classification 37C65, 37C25, 35B40, 35B10.