一类奇异高阶常微分方程边值问题解的存在唯一性  

Existence and Uniqueness of the Solution about a Class of Boundary Problems of Singular Higher Order Nonlinear Differential Equations

作　　者：谭长明[1] 

机构地区：[1]鞍山师范学院财经系,辽宁鞍山114007

出　　处：《沈阳师范大学学报（自然科学版）》2008年第2期154-156,共3页Journal of Shenyang Normal University:Natural Science Edition

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.

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 

分 类 号：O175[理学—数学]