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

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.

Abstract: 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.