【连续型极限徐先进】.pdf
目录 英文摘要 1.综述 5.第一章么上双物种反应扩散过程的连续极限 21.S1.引言 S2.过程存在难一性 24.一些引理 28.S4.定理的证明 37.第=章Z(d≥1)上双物种反应扩散过程 的连续极限 44.S1.引言 44.§z.准备工作 48.S3.定理的证明 第三章极限方程的非负常值平衡解的稳 定性与相应系统的遍牙性 59.S1.引言 59.S2一些引理 33.定理1之证 66.S4.定理1之证 69.第四章短时Carleman方程 S1.引言 1.
Abstract These notes are desigened to investigate collectrve behavior in reaction diffusion systems.Let Z be the set of all integers,Z+be the set of all nonnegative integers,N be thesetofpositiveintegers Chapter1.We suppose that there are two kinds of particles on Z,whose diffuse generator Zd a
Chapter3(Pu:ueZ), E>o, is a family Of distribution Series On Zd satisfying 注(≤uuip)=(ai)and lime(≤u2p)=(b2)(d≥1) and n=(n,r)eE, Let 2fm=zfamw)[f(n+eu)-fn]+b(n(uo[f(m-e)-fm] where a;n(n-1)(n-i+1),ai≥0,i=o,1,l =(W) i=0 bn)=bn(n-1)