摘要
本文讨论了时标上带有谱参数边界条件的Sturm-Liouville问题的矩阵表示。通过分割时标T,使得在对应时标上Sturm-Liouville问题的系数满足特定的条件,得出了所研究的Sturm-Liouville问题与一类矩阵特征值问题之间的等价关系。
The matrix representations of Sturm-Liouville problems with eigenparameter-dependent boundary conditions on time scales are investigated. By partitioning the time scales such that the coefficients of Sturm-Liouville equation satisfy some certain conditions on corresponding time scales, the equivalences between Sturm-Liouville problems and a certain kind of matrix eigenvalue problems are obtained.
出处
《应用数学进展》
2018年第2期169-178,共10页
Advances in Applied Mathematics
基金
国家自然科学基金资助项目(11661059,11301259)
内蒙古自然科学基金项目(2017JQ07)支持。
