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一类二阶隐式微分方程的可解性

冯育强

应用数学2007,Vol.20Issue(3):473-477,5.
应用数学2007,Vol.20Issue(3):473-477,5.

一类二阶隐式微分方程的可解性

Solvability of a Second-order Implicit Differential Equation

冯育强1

作者信息

  • 1. 武汉科技大学理学院,湖北,武汉,430065
  • 折叠

摘要

Abstract

We are concerned with the second-order implicit differential equation as follows:f(t,u(t),u′′(t))=0, a.e. t∈(0,1)with boundary condition u(0)=u(1)=0. Lower and upper solutions method and iterative technique are employed to study the solvability of this problem and some existence results are obtained.

关键词

二阶隐式微分方程/上下解方法/迭代方法/存在性

Key words

Second-order implicit differential equation/Lower and upper solutions method/Iterative technique/Existence

分类

数理科学

引用本文复制引用

冯育强..一类二阶隐式微分方程的可解性[J].应用数学,2007,20(3):473-477,5.

基金项目

Supported by China National Science Foundation Grant(60574075) and Science Foundation of Education Office of Hubei Province Grant (Q20061101) (60574075)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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