一个带三点边条件的非线性特征值问题  

A Nonlinear Eigenvalue Problem with Three Point Boundary Condition

作　　者：杨潇[1] 王永刚[1] 

机构地区：[1]郑州大学数学系,河南郑州450001

出　　处：《信阳师范学院学报（自然科学版）》2009年第4期489-492,496,共5页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(60774041);河南省科技攻关资助项目(082102210086)

摘　　要：通过构造一个连续紧映射,建立了一个带三点边的非线性特征值问题与线性特征值问题之间的联系,利用不动点定理证明了非线性算子的特征值及相应特征函数的存在性.The case with a nonlinear perturbation term of Dirac operator was discussed. The connection between the nonlinear eigenvalue problem and the linear eigenvalue problem was established through constructing a continuous mapping. The existence of eigenvalues of perturbated operator and its eigenfunctions were proved by using the fixed point theorem.

关 键 词：三点边条件 非线性问题 SCHAUDER不动点定理 

分 类 号：O175.14[理学—数学]