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一类非线性三阶微分方程边值问题解的存在唯一性

杨景保 莫嘉琪

杨景保, 莫嘉琪. 一类非线性三阶微分方程边值问题解的存在唯一性[J]. 应用数学和力学, 2020, 41(2): 216-222. doi: 10.21656/1000-0887.400158
引用本文: 杨景保, 莫嘉琪. 一类非线性三阶微分方程边值问题解的存在唯一性[J]. 应用数学和力学, 2020, 41(2): 216-222. doi: 10.21656/1000-0887.400158
YANG Jingbao, MO Jiaqi. Existence and Uniqueness of Solutions to Boundary Value Problems of a Class of Nonlinear 3rd-Order Differential Equations[J]. Applied Mathematics and Mechanics, 2020, 41(2): 216-222. doi: 10.21656/1000-0887.400158
Citation: YANG Jingbao, MO Jiaqi. Existence and Uniqueness of Solutions to Boundary Value Problems of a Class of Nonlinear 3rd-Order Differential Equations[J]. Applied Mathematics and Mechanics, 2020, 41(2): 216-222. doi: 10.21656/1000-0887.400158

一类非线性三阶微分方程边值问题解的存在唯一性

doi: 10.21656/1000-0887.400158
基金项目: 安徽省高校自然科学研究项目(KJ2017A702;KJ2019A1300;KJ2019A1303)
详细信息
    作者简介:

    杨景保(1968—),男,教授,硕士(E-mail: jbyang1@126.com);莫嘉琪(1937—),男,教授(通讯作者. E-mail: mojiaqi@mail.ahnu.edu.cn).

  • 中图分类号: O175.14|O175.8

Existence and Uniqueness of Solutions to Boundary Value Problems of a Class of Nonlinear 3rd-Order Differential Equations

  • 摘要: 研究了一类非线性三阶微分方程边值问题解的存在唯一性.首先分析了近年来国内外三阶微分方程边值问题的研究成果,提出了边值条件中含非线性函数的非线性三阶微分方程边值问题.然后寻找相关线性问题的解决途径, 利用Banach不动点定理, 证明了提出的边值问题存在唯一解.最后,举例阐述了主要结果的应用.
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出版历程
  • 收稿日期:  2019-05-06
  • 修回日期:  2019-05-10
  • 刊出日期:  2020-02-01

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