Fuchs型算子的非线性扰动

研究了有限区间上两端都带奇型的非线性特征值问题, 将该非线性问题线性化,构造有界凸闭子集上的一个紧映射,利用Schauder不动点定理得该映射的不动点,而此不动点恰好为非线性问题的解,借以证明特征值的存在性,并利用线性问题的结果得到非线性问题的相应结果.

Nonlinear Perturbation of Fuchs Operators

In this paper a nonlinear eigenvalue problem is researched in a finite interval,which both ends are singular types.Through linearizing nonlinear eigenvalue problem,constructing a compact mapping on the bounded closed convex subsets and using Schauder fixed point theorem,the fixed point of this mapping can be obtained.This fixed point is just the solution of the nonlinear eigenvalue problem.Then eigenvalue existence is justified.And the correspnding result of nonlinear eigenvalue problem can be obtained by r...