非线性三点边值问题对称正解的存在性与多解性  

Existence and Multiplicity of Symmetric Positive Solutions for Three-point Boundary Value Problems

作　　者：陈春香[1] 徐四委[2] 

机构地区：[1]中国矿业大学理学院,江苏徐州221116 [2]辽宁大学信息科学与技术学院,沈阳110036

出　　处：《四川理工学院学报（自然科学版）》2010年第6期654-656,共3页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

摘　　要：为了研究非线性三点边值问题,利用不动点定理及单调迭代法,探讨了该问题对称正解的存在性与多解性,不仅得到了该边值问题存在2n(n为自然数)个对称正解,而且还给出了逼近于这些解的迭代格式。In order to study nonlinear two-order three-point boundary value problem, this paper investigates the exist ence and multiplicity results of symmetric positive solutions by using the fixed point theorem and the monotone iterative technique. Not only was the existence of 2n （n is a natural number）symmetric positive solutions for the problems obtained, but also iterative schemes for approximating the solutions was established.

关 键 词：对称正解 单调迭代序列 多解性 

分 类 号：O175.8[理学—数学]