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混合拟单调系统行波解的存在性(英文)
Existence of Traveling Waves in the Mixed Quasimonotone Reaction-diffusion Systems
【摘要】 运用单调速代方法,证明了混合拟单调系统的行波解的存在性.当反应扩散系统的反应函数是混合拟单调函数时,如果选取一对合适的耦合上下解作为迭代初值,则迭代序列将收敛到一对拟解.而且在这对拟解之间存在系统的行波解.
【Abstract】 By the monotone iteration scheme,the existence of traveling wave so- lutions is established for the mixed quasimonotone systems.If the reaction functions satisfy the mixed quasimonotonicity condition,the iterative sequences converge to a pair of coupled quasisolutions,provided that the initial functions for the iteration scheme is chosen to be a pair of coupled upper and lower solutions.
【关键词】 反应扩散系统;
混合拟单调性;
单调迭代;
上下解;
行波解;
【Key words】 Reaction-diffusion system; Mixed quasimonotonicity; Monotone iteration; Upper and lower solutions; Traveling wave solution;
【Key words】 Reaction-diffusion system; Mixed quasimonotonicity; Monotone iteration; Upper and lower solutions; Traveling wave solution;
【基金】 The Project Supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry(2002247)
- 【文献出处】 生物数学学报 ,Journal of Biomathematics , 编辑部邮箱 ,2007年04期
- 【分类号】O175.29
- 【被引频次】4
- 【下载频次】85