研究方向
微分算子与差分算子谱理论
教育背景
1983.09 - 1987.06
大连理工大学应用数学系
学士
1995.09 - 1999.06
山东大学数学科学学院
硕士
2000.09 - 2003.06
山东大学数学科学学院
博士
工作经历
1987.09 - 2000.06
济南石化经济学校
教师
2003.09 - 2009.06
天津大学理学院
副教授
2009.09 - 2016.12
天津大学理学院
教授
2016.12 - 今
天津大学数学学院
教授
教学工作
无
科研工作
2016-2019
国家自然科学基金：孤立不变集的Conley-Morse理论及其应用
参加人
2017-2019
国家自然科学基金：具有测度系数的Sturm-Liouville算子的谱性质
参加人
主要荣誉
学术兼职
天津市数学会理事
其它
发表论文
1.Zhang, Yalin; Shi, Guoliang, Continuous dependence of the transmission eigenvalues in one dimension. Inverse Probl. Imaging 9 (2015), no. 1, 273–287.
2.Yan, Jun; Shi, Guoliang Spectral properties of Sturm-Liouville operators with local interactions on a discrete set. J. Differential Equations 257 (2014), no. 9, 3423–3447.
3.Yan, Jun; Shi, Guoliang, Inequalities among eigenvalues of Sturm-Liouville problems with distribution potentials. J. Math. Anal. Appl. 409 (2014), no. 1, 509–520.
4.Shi, Guoliang; Wu, Hongyou, Spectral theory of Sturm-Liouville difference operators. Linear Algebra Appl. 430 (2009), no. 2-3, 830–846.
5.Shi, Guoliang; Yan, Rui Spectral theory of left definite difference operators. J. Math. Anal. Appl. 337 (2008), no. 1, 116–122.
6.Shi, Guoliang; Wang, Yanling, The eigenvalues and existence of solutions of BVPs for fourth order difference equations. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 14 (2007), no. 5, 631–639.
7.Zhang, Junhong; Shi, Guoliang, Positive solutions for fourth-order singular p-Laplacian boundary value problems. Appl. Anal. 85 (2006), no. 11, 1373–1382.
8. Shi, Guoliang; Chen, Shaozhu, Absolutely continuous spectra for matrix Dirac systems. J. Math. Anal. Appl. 312 (2005), no. 2, 420–434.
9.Shi, Guoliang; Chen, Shaozhu, Positive solutions of fourth-order superlinear singular boundary value problems. Bull. Austral. Math. Soc. 66 (2002), no. 1, 95–104.
