SOME REMARKS ON LATTICE AND NONLOCAL DISPERSAL EVOLUTION SYSTEMS

被引：6
作者：
Zhao, Xiao-Qiang [1 ]
机构：
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C5S7, Canada
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2023年 / 16卷 / 3-4期
基金：
加拿大自然科学与工程研究理事会;
关键词：
The compact open topology; uniformly continuous semigroups; lattice equations; nonlocal dispersal; monotone semiflows; TRAVELING-WAVES; MONOTONE SEMIFLOWS; SPREADING SPEED; GROWTH;
D O I：
10.3934/dcdss.2022137
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first characterize the continuity of a map in the space C = BC(H, R-m) equipped with the compact open topology. Then we show that linear lattice and nonlocal dispersal equations generate uniformly continuous semigroups in the Banach space B = BC(H, R-m) equipped with the supremum norm. Finally, we illustrate how to prove nonlinear lattice and nonlocal dispersal equations generate monotone semiflows with respect to the compact open topology.
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页码：787 / 796
页数：10
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