摘要
研究非线性奇异高阶微分方程边值问题的解,引用了混合单调迭代算子和混合单调迭代不动点定理,并利用该定理对二阶Dirichlet方程的解的存在性和唯一性进行证明.
In this thesis, the solution of boundary problems of the singular higher order nonlinear differential equations is studied. The mixed monotone operator and the fixed point theorem of the mixed monotone iterative operator are introduced. By using the theorem, the existence and uniqueness of the solution of higher order Dirichlet equation are proved.
出处
《沈阳师范大学学报(自然科学版)》
CAS
2008年第2期154-156,共3页
Journal of Shenyang Normal University:Natural Science Edition
关键词
奇异边值问题
存在性
唯一性
格林函数
混合单调算子
singular boundary value problem
existence
uniqueness
Green function
mixed monotone operator