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一类K-单调系统产生的K-单调算子
A TYPE K-MONOTONE OPERATOR ARISING FROM TYPE K-MONOTONE SYSTEM
【摘要】 本文研究了K-单调系统的解的渐近性质.应用K-单调算子的性质,得到了保证K-单调系统的正周期解的存在性、唯一性、全局渐近稳定性的充分条件.
【Abstract】 The asymptotic behavior of solutions of type K-monotone systems is studied. Using the properties of type K-monotone operator, the authors obtain several sufficient conditions which guarantee the existence and globally asymptotically stability of positive periodic so- lution of type K-monotone systems.
【关键词】 K-单调算子;
K-单调系统;
子系统;
周期解;
全局稳定性;
【Key words】 Type K-monotone operator; Type K-monotone system; Subsystem; Periodic solution; Global stability;
【Key words】 Type K-monotone operator; Type K-monotone system; Subsystem; Periodic solution; Global stability;
【基金】 国家自然科学基金(No.1011900
- 【文献出处】 数学年刊A辑(中文版) ,Chinese Annals of Mathematics,series A , 编辑部邮箱 ,2001年05期
- 【分类号】O175.13
- 【被引频次】1
- 【下载频次】110