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一类二阶三点边值问题无穷多解的存在性

贺强 张琪 卢洋

吉林大学学报(理学版)2012,Vol.50Issue(5):954-956,3.
吉林大学学报(理学版)2012,Vol.50Issue(5):954-956,3.

一类二阶三点边值问题无穷多解的存在性

Existence of Infinite Solutions for Second-Order Three-Point Boundary Value Problems

贺强 1张琪 1卢洋1

作者信息

  • 1. 吉林大学数学学院,长春130012
  • 折叠

摘要

Abstract

The authors constructed and analyzed an example of a second-order three-point boundary value problem. The authors considered the equation and the methods of solving the equation directed at t with the singularity. First, the authors used the analysis of upper and lower solution method to prove this kind of problems in two resonance and nonresonance cases, respectively, to have infinitely many different solutions, and finally on the basis of the shooting method, the authors showed the numerical solution of this kind of problems.

关键词

三点边值问题/共振与非共振条件/上下解方法

Key words

three-point boundary value problem/ resonance and nonresonance condition/ upper and lower solution method

分类

数理科学

引用本文复制引用

贺强,张琪,卢洋..一类二阶三点边值问题无穷多解的存在性[J].吉林大学学报(理学版),2012,50(5):954-956,3.

基金项目

国家自然科学基金(批准号:J0730101 ()

10801062). ()

吉林大学学报(理学版)

OA北大核心CSCDCSTPCD

1671-5489

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