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
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)