段华贵｜吉林大学｜学者主页

期刊论文

2026

Multiple closed characteristics on compact star-shaped hypersurfaces

Huagui Duan, Dong Xie

Transactions of the American Mathematical Society

DOI

2026

Multiple closed characteristics on compact star-shaped hypersurfaces in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"> <mml:msup> <mml:mrow> <mml:mi mathvariant="double-struck">R</

Huagui Duan, Zhiping Fan

Journal of Differential Equations

DOI

2026

Multiple closed geodesics on a sphere of odd dimension

Huagui Duan, Dong Xie

Journal of differential geometry

DOI

2026

On the Common Index Jump Theorem and Further Developments

Huagui Duan, Yiming Long, Wei Wang, Chaofeng Zhu

Frontiers of Mathematics

DOI

2025

Four closed characteristics on compact star-shaped hypersurfaces in R8\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$

Huagui Duan, D. Xie

Journal of Geometric Analysis

DOI

2025

On the minimal number of closed geodesics on positively curved Finsler spheres

Huagui Duan, Dong Xie

Journal für die Reine und Angewandte Mathematik

DOI

2006

一类混合单调算子的耦合不动点定理及其应用

段华贵，李国祯

《应用泛函分析学报》

2005

一类非线性算子方程的最小最大耦合拟解的存在性(英文)

段华贵，李国祯

《数学杂志》

2004

几类非线性算子的不动点定理及应用

段华贵

《江西师范大学》

2003

局部凸拓扑向量空间中的不动点定理

段华贵

《江西师范大学学报(自然科学版)》

2003

混合单调算子的不动点定理及其应用

段华贵，李国祯

《江西师范大学学报(自然科学版)》

预印本

2026

Closed Reeb orbits on contact type hypersurfaces in $T^*S^n$

Huagui Duan, Zihao Qi

arXiv preprint

2026

Stability of closed characteristics and invariant sets on star-shaped hypersurfaces

Huagui Duan, Zihao Qi

arXiv preprint

2024

Three closed characteristics on non-degenerate star-shaped hypersurfaces in $\mathbf{R}^{6}$

Huagui Duan, Hui Liu, Yiming Long, Zihao Qi, Wei Wang

arXiv preprint

2023

Multiple closed geodesics on Finsler $3$-dimensional sphere

Huagui Duan, Zihao Qi

arXiv preprint

2022

Multiplicity of closed geodesics on bumpy Finsler manifolds with elliptic closed geodesics

Huagui Duan, Dong Xie

arXiv preprint

2022

Multiplicity and stability of closed geodesics on positively curved Finsler $4$-spheres

Huagui Duan, Dong Xie

arXiv preprint

2022

Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond

Huagui Duan, Hui Liu, Yiming Long, Wei Wang

arXiv preprint

DOI

2022

A dichotomy result for closed characteristics on compact star-shaped hypersurfaces in $\mathbf{R}^{2n}$

Huagui Duan, Hui Liu, Wenyan Ren

arXiv preprint

2016

Multiplicity and ellipticity of closed characteristics on compact star-shaped hypersurfaces in ${\bf R}^{2n}$

Huagui Duan, Hui Liu

arXiv preprint

2015

On the multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics

Huagui Duan, Hui Liu

arXiv preprint

DOI

2015

Two elliptic closed geodesics on positively curved Finsler spheres

Huagui Duan

arXiv preprint

DOI

2015

The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds

Huagui Duan, Yiming Long, Wei Wang

arXiv preprint

2015

Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in ${\bf R}^{2n}$

Huagui Duan, Hui Liu, Yiming Long, Wei Wang

arXiv preprint

2015

Non-hyperbolic closed geodesics on positively curved Finsler spheres

Huagui Duan

arXiv preprint

DOI

2010

The index growth and multiplicity of closed geodesics

Huagui Duan, Yiming Long

arXiv preprint

2007

Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres

Huagui Duan, Yiming Long

arXiv preprint

2007

Multiple closed geodesics on bumpy Finsler $n$-spheres

Huagui Duan, Yiming Long

arXiv preprint

DOI

段华贵

精选作品

期刊论文

Multiple closed characteristics on compact star-shaped hypersurfaces

Multiple closed characteristics on compact star-shaped hypersurfaces in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"> <mml:msup> <mml:mrow> <mml:mi mathvariant="double-struck">R</

Multiple closed geodesics on a sphere of odd dimension

On the Common Index Jump Theorem and Further Developments

Four closed characteristics on compact star-shaped hypersurfaces in R8\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$

On the minimal number of closed geodesics on positively curved Finsler spheres

一类混合单调算子的耦合不动点定理及其应用

一类非线性算子方程的最小最大耦合拟解的存在性(英文)

几类非线性算子的不动点定理及应用

局部凸拓扑向量空间中的不动点定理

混合单调算子的不动点定理及其应用

预印本

Closed Reeb orbits on contact type hypersurfaces in $T^*S^n$

Stability of closed characteristics and invariant sets on star-shaped hypersurfaces

Three closed characteristics on non-degenerate star-shaped hypersurfaces in $\mathbf{R}^{6}$

Multiple closed geodesics on Finsler $3$-dimensional sphere

Multiplicity of closed geodesics on bumpy Finsler manifolds with elliptic closed geodesics

Multiplicity and stability of closed geodesics on positively curved Finsler $4$-spheres

Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond

A dichotomy result for closed characteristics on compact star-shaped hypersurfaces in $\mathbf{R}^{2n}$

Multiplicity and ellipticity of closed characteristics on compact star-shaped hypersurfaces in ${\bf R}^{2n}$

On the multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics

Two elliptic closed geodesics on positively curved Finsler spheres

The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds

Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in ${\bf R}^{2n}$

Non-hyperbolic closed geodesics on positively curved Finsler spheres

The index growth and multiplicity of closed geodesics

Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres

Multiple closed geodesics on bumpy Finsler $n$-spheres

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