3 papers
math.CA2021
The positive and negative deficiency indices of formally self-adjoint difference equations
Guojing Ren
This paper is concerned with formally self-adjoint difference equations and their positive and negative deficiency indices. It is shown that the order of any formally self-adjoint…
math.SP2019
Discrete Sturm-Liouville problems: singularity of the -th eigenvalue with application to Atkinson type
Guojing Ren, Hao Zhu
In this paper, we characterize singularity of the -th eigenvalue of self-adjoint discrete Sturm-Liouville problems in any dimension. For a fixed Sturm-Liouville equation, we com…
math.FA2016
Boundedness and closedness of linear relations
Yuming Shi, Guixin Xu, Guojing Ren
This paper studies boundedness and closedness of linear relations, which include both single-valued and multi-valued linear operators. A new (single-valued) linear operator induced…