关心宇

关心宇,博士,副教授,硕士生导师,应用数学系副主任

电子邮箱:guanxinyumath@163.com

研究方向:微分方程与动力系统,包括非光滑微分方程,生物数学,定性理论与分叉理论,KAM理论等。

个人简介:主讲《数学分析》《高等数学》《线性代数》等课程;主持在研(或完成)国家自然科学基金1项,山东省自然科学基金1项,2025年度山东省“青创团队计划”团队带头人;获山东财经大学海岱学者支持计划、青年博士学术专项支持计划;在《J. Differential Equations》《J. Math. Phys.》等高水平SCI期刊发表学术论文10余篇;指导学生参加“正大杯”“三千计划”等荣获校级奖项5项。

代表性成果:

论文:

1.J. Si,X.Guan*,Construction of analytic solutions to nonlinear differential equations with

multipleproportional delays,Communications in Nonlinear Science and Numerical Simulation,Volume 158(2026), 109795

2.X.Guan, J. Si, and Z. Wang,Existence of Analytic Solutions to Linear Delay Differential Equations,Results in Mathematics,(2025) 80:20.

3.X. Guan,J. Si and W. Si, Response solutions for degenerate reversible harmonic oscillators with zero-average perturbation,Acta Mathematica Sinica.English Series,2023,39(10),2006-2030.

4.X. Guan, N. Kang,Stability for Cauchy problem of first order linear PDEs onTm with forcedfrequency possessing finite uniform Diophantine exponent,AIMS Mathematics,2024,9(7),17795-17826.

5.X. Guan and W. Si,Almost-periodic bifurcations for 2-dimensional degenerate Hamiltonian vector fields,Journal of Applied Analysis and Computation,2023,13(6),3054-3073.

6.W. Si andX. Guan*, Degenerate response tori in Hamiltonian systems with higher zero-average perturbation,Journal of Mathematical Physics,63(2022) (11), 112705.

7.X. Guanand X. Chen,Global dynamics of degenerate linear differential systems with symmetry and two parallel switching lines,Qualitative Theory of Dynamical Systems,21(2022), (3), 65, 30.

8.X. Guan, J. Si and W. Si, Parabolic invariant tori in quasi-periodically forced skew-product maps,Journal of Differential Equations,277(2021), 234–274.

9.X. Guan, F. Chen, Dynamical analysis of a two species amensalism model withBeddington-DeAngelis functional response and Allee effect on the second species,Nonlinear analysis: Real world applications,48 (2019), 71–93.

10.F. Chen,X.Guan,X.Huanget al, Dynamic behaviors of a Lotka-Volterra type predator-prey system with Allee effect on the predator species and density dependent birth rate on the prey species,OpenMathematics,2019, 17(1): 1186-1202.

承担课题:

1.国家自然科学基金委员会, 青年基金项目, 2024.01-2026.12, 主持。

2.山东省自然科学基金委, 青年基金, 2024.01.01-2026.12.31,主持。

3. 2025年度山东省高等学校“青创团队计划”团队带头人。

荣誉获奖:

山东财经大学优秀科研成果二等奖(2024年)