时标上具有非线性谱参数边界条件的Sturm-Liouville问题的特征值（英文）  

Eigenvalues of Sturm-Liouville Problems with Nonlinear Eigenparameter-Dependent Boundary Conditions on Time Scales

作　　者：王娟[1] 敖继军[1] WANG Juan;AO Jijun(College of Sciences,Inner Mongolia University of Technology,Hohhot 010051,China)

机构地区：[1]内蒙古工业大学理学院,内蒙古呼和浩特010051

出　　处：《应用数学》2019年第1期153-160,共8页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11661059,11301259);Natural Science Foundation of Inner Mongolia(2017JQ07)

摘　　要：本文考虑一类时标上带有非线性多项式谱参数边界条件的Sturm-Liouville问题的特征值.结果表明特征值的个数不仅依赖于对时标的分割,而且依赖于多项式谱参数边界条件.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 

分 类 号：O175[理学—数学]