一类二阶边值问题无穷多解的存在性  

Existence of Infinite Solutions for a Class of Second-Order Boundary Value Problems

作　　者：贺强[1] 张琪[1] 卢洋[1] 

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2013年第3期357-362,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:J0730101:10801062)

摘　　要：考虑一类二阶三点边值问题无穷多解的存在性.利用分析上下解的方法分别证明了共振与非共振两种情形下该类问题解的个数可以是可数无穷多个,并针对实际问题利用打靶法和Newton迭代法给出了该类问题的数值解法及相应的图像分析.We constructed and analyzed an example of a second-order three-point boundary value problem.First,we used the analysis of upper and lower solution method to prove that the solutions of this kind of problems of both resonance and nonresonance cases,respectively are countably infinite, and finally,gave a numerical solution of such problem using shooting method and Newton iterative method,and the corresponding image analyses.

关 键 词：三点边值问题 共振与非共振条件 上下解方法 

分 类 号：O241.1[理学—计算数学]