应用数学2019,Vol.32Issue(1):153-160,8.
时标上具有非线性谱参数边界条件的Sturm-Liouville问题的特征值
Eigenvalues of Sturm-Liouville Problems with Nonlinear Eigenparameter-Dependent Boundary Conditions on Time Scales
摘要
Abstract
The eigenvalues of a class of Sturm-Liouville problems with nonlinear polynomially eigenparameter-dependent boundary conditions on bounded time scales is investigated.The results show that the number of eigenvalues not only depend on the partition of the bounded time scale,but also depend on the boundary conditions polynomially dependent on the eigenparameter.关键词
Sturm-Liouville问题/时标/非线性谱参数边界/有限特征值Key words
Sturm-Liouville problem/Time scales/Nonlinear eigenparameter-dependent boundary/Finite eigenvalue分类
数理科学引用本文复制引用
王娟,敖继军..时标上具有非线性谱参数边界条件的Sturm-Liouville问题的特征值[J].应用数学,2019,32(1):153-160,8.基金项目
Supported by the National Natural Science Foundation of China(11661059,11301259),Natural Science Foundation of Inner Mongolia(2017JQ07) (11661059,11301259)