任国静｜山东财经大学｜学者主页

期刊论文

2025

Friedrichs Extensions for a Class of Singular Discrete Linear Hamiltonian Systems

Guojing Ren, Guixin Xu

Bulletin of the Iranian Mathematical Society.

DOI

2022

The Positive and Negative Deficiency Indices of Formally Self-Adjoint Difference Equations

Guojing Ren

Complex Analysis and Operator Theory

DOI

2022

Jump phenomena of the n-th eigenvalue of discrete Sturm–Liouville problems with application to the continuous case

Guojing Ren, Hao Zhu

Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI

2020

常数变易法在微分、差分方程中的应用

任国静

《山东师范大学学报(自然科学版)》

2018

Properties of Linear Relations in Banach Spaces

Guojing Ren, Ravi P. Agarwal

Complex Analysis and Operator Theory

DOI

2017

Boundedness and closedness of linear relations

Yuming Shi, Guixin Xu, Guojing Ren

Linear and Multilinear Algebra

DOI

2017

Stability of index for linear relations and its applications

Guojing Ren

Indagationes Mathematicae

DOI

2017

Modified classification of non-self-adjoint second-order difference equations

Guojing Ren, Ravi P. Agarwal

The Journal of Difference Equations and Applications

DOI

2015

Deficiency indices of the polynomials of formally self-adjoint difference expressions

Guojing Ren, Haiyan Lv

The Journal of Difference Equations and Applications

DOI

2014

Self-adjoint extensions for discrete linear Hamiltonian systems

Guojing Ren, Yuming Shi

Linear Algebra and its Applications

DOI

2014

Defect index of the square of a formally self-adjoint second-order difference expression

Guojing Ren

Advances in Difference Equations

DOI

2014

Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value Problems

Haiyan Lv, Yuming Shi, Guojing Ren

Abstract and Applied Analysis

DOI

2013

On the density of the minimal subspaces generated by discrete linear Hamiltonian systems

Guojing Ren

Applied Mathematics Letters

DOI

2013

J -Self-Adjoint Extensions for a Class of Discrete Linear Hamiltonian Systems

Guojing Ren, Huaqing Sun

Abstract and Applied Analysis

DOI

2013

J-self-adjoint extensions for second-order linear difference equations with complex coefficients

Huaqing Sun, Guojing Ren

Advances in Differential Equations

DOI

2012

Spectral properties of self-adjoint subspaces

Yuming Shi, Chunmei Shao, Guojing Ren

Linear Algebra and its Applications

DOI

2012

Defect indices of singular symmetric linear difference equations with complex coefficients

Guojing Ren

Advances in Difference Equations

DOI

2011

奇异离散线性哈密顿系统的亏指数及自伴扩张

任国静

《山东大学》

2011

Defect indices and definiteness conditions for a class of discrete linear Hamiltonian systems

Guojing Ren, Yu-Ming Shi

Applied Mathematics and Computation

DOI

2010

The defect index of singular symmetric linear difference equations with real coefficients

Guojing Ren, Yu-Ming Shi

DOI

2007

Transformations for complex discrete linear Hamiltonian and symplectic systems

Yi Wang, Yu-Ming Shi, Guojing Ren

Bulletin of the Australian Mathematical Society

DOI

2006

Asymptotic behaviour of dynamic systems on time scales†

Guojing Ren, Yu-Ming Shi

DOI

2005

线性扰动系统解的渐近性质及四阶奇异差分算子的谱问题

任国静

《山东大学》

2005

Asymptotic behavior of solutions of perturbed linear difference systems

Guojing Ren, Yu-Ming Shi, Yi Wang

DOI

预印本

2025

Quasi self-adjoint extensions of a class of formally non-self-adjoint discrete Hamiltonian systems

Guojing Ren, Guixin Xu

arXiv preprint

2024

Quasi-selfadjoint extensions of dual pairs of linear relations

Guixin Xu, Guojing Ren

arXiv preprint

2019

Discrete Sturm-Liouville problems: singularity of the $n$-th eigenvalue with application to Atkinson type

Guojing Ren, Hao Zhu

arXiv preprint

任国静

精选作品

期刊论文

Friedrichs Extensions for a Class of Singular Discrete Linear Hamiltonian Systems

The Positive and Negative Deficiency Indices of Formally Self-Adjoint Difference Equations

Jump phenomena of the n-th eigenvalue of discrete Sturm–Liouville problems with application to the continuous case

常数变易法在微分、差分方程中的应用

Properties of Linear Relations in Banach Spaces

Boundedness and closedness of linear relations

Stability of index for linear relations and its applications

Modified classification of non-self-adjoint second-order difference equations

Deficiency indices of the polynomials of formally self-adjoint difference expressions

Self-adjoint extensions for discrete linear Hamiltonian systems

Defect index of the square of a formally self-adjoint second-order difference expression

Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value Problems

On the density of the minimal subspaces generated by discrete linear Hamiltonian systems

J -Self-Adjoint Extensions for a Class of Discrete Linear Hamiltonian Systems

J-self-adjoint extensions for second-order linear difference equations with complex coefficients

Spectral properties of self-adjoint subspaces

Defect indices of singular symmetric linear difference equations with complex coefficients

奇异离散线性哈密顿系统的亏指数及自伴扩张

Defect indices and definiteness conditions for a class of discrete linear Hamiltonian systems

The defect index of singular symmetric linear difference equations with real coefficients

Transformations for complex discrete linear Hamiltonian and symplectic systems

Asymptotic behaviour of dynamic systems on time scales†

线性扰动系统解的渐近性质及四阶奇异差分算子的谱问题

Asymptotic behavior of solutions of perturbed linear difference systems

预印本

Quasi self-adjoint extensions of a class of formally non-self-adjoint discrete Hamiltonian systems

Quasi-selfadjoint extensions of dual pairs of linear relations

Discrete Sturm-Liouville problems: singularity of the $n$-th eigenvalue with application to Atkinson type

研究方向