一类具有Neumann边值条件的二阶两点边值问题结点解的确切个数(英文)  

Exact Multiplicity of Nodal Solutions for a Class of Second Order Two-point Boundary Problems with Neumann Boundary Conditions

作　　者：安玉莲[1,2] 

机构地区：[1]上海师范大学数学系,上海200235 [2]上海应用技术学院理学院,上海201418

出　　处：《工程数学学报》2013年第2期301-310,共10页Chinese Journal of Engineering Mathematics

基　　金：The National Natural Science Foundation of China(10971139);the China Postdoctoral Fund(2011M500615);the Scientific Innovation Projection of Shanghai Education Department(11YZ225;SIT-YJ2009-16)

摘　　要：本文运用分歧技巧及Morse指标理论研究一类起源于流体动力学的含参数二阶常微分方程Neumann边值问题,得到了当参数充分大时,该问题结点解的确切个数.该结果对于数值解的计算很有帮助.According to the bifurcation techniques and Morse index theory, the exact multi- plicity of nodal solutions for a class of second order two-point Neumann boundary value problems arising from fluid dynamics is obtained when the parameter is large enough. The result is very useful to compute the numerical solutions.

关 键 词：特征值问题 分歧 MORSE指标 结点解 确切个数 

分 类 号：O175.8[理学—数学]