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一类二阶常微分方程m点边值问题的解法
  • 期刊名称：数学物理学报
  • 时间：0
  • 页码：718-729
  • 语言：中文
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]曲阜师范大学数学科学学院,山东曲阜273165
  • 相关基金：国家自然科学基金（10871116）; 山东省自然科学基金（Y2006A04）; 高教博士点专项科研基金（200804460001）资助
  • 相关项目：序Banach空间中的非线性算子理论及其对微分方程的应用
作者： 赵增勤|李兴昌|
关键词： 二阶微分方程, m点边值问题, 解析表达式, 迭代求解, Second-order differential equation, m-point boundary value problem, Analytic expression, Solution by iteration method
中文摘要：

该文研究一类二阶常微分方程,给出了所述线性方程在几种m点边界条件下解的存在惟一性及其解的解析表达式,作为应用的例子,作者对一类非线性边值问题给出了正解的迭代求法.

英文摘要：

In this paper,we consider some m-point boundary value problems of second-order differential equations.We give the uniqueness and the exact expressions of the solutions for the linear differential equations with some m-point boundary conditions.As applications,we study the solution by iteration method for some nonlinear singular boundary value problems.

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序Banach空间中的非线性算子理论及其对微分方程的应用
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