A NOTE ON BIFURCATIONS OF u″+μ(u-u^k)=0(4≤k∈Z^+)  

作　　者：李常品 

出　　处：《Applied Mathematics and Mechanics(English Edition)》2000年第3期265-274,共10页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina (199710 57) ;ScienceandTechnologyDevelopingFoundationofShanghaiHigherEducation (99Q

摘　　要：Bifurcations of one kind of reaction_diffusion equations, u″+μ(u-u k)=0(μ is a parameter,4≤k∈Z +), with boundary value condition u(0)=u(π)=0 are discussed. By means of singularity theory based on the method of Liapunov_Schmidt reduction, satisfactory results can be acquired.Bifurcations of one kind of reaction_diffusion equations, u″+μ(u-u k)=0(μ is a parameter,4≤k∈Z +), with boundary value condition u(0)=u(π)=0 are discussed. By means of singularity theory based on the method of Liapunov_Schmidt reduction, satisfactory results can be acquired.

关 键 词：Liapunov_Schmidt reduction singularity theory BIFURCATION 

分 类 号：O175.1[理学—数学]