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

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.