Yanxia Zhang associate Professor
School of Microelectronics &Data Science
Anhui University of Technology
Research Interests
l Differential operator spectrum theory;
l Functional analysis.
Teaching Courses
l Higher mathematics, Linear algebra, Complex Variables and integral transformation.
Grants
l 2011SQRL029, Research on Eigenvalues of two-dimensional vector sturm liouville operator, The Natural Science Research Fund for Colleges and Universities in Anhui Province。
l 2022AH050290,Spectral analysis and algorithm implementation of a class of discontinuous sturm liouville operators , The Natural Science Research Fund for Colleges and Universities in Anhui Province
l 2020jy20,Research and Practice on the Teaching Model of Advanced Mathematics in Engineering Based on Cultivating Virtue and Talents,Anhui University of Technology Key Teaching and Research Project.
l 2020szsfkc0173,Advanced Mathematics A Course Ideological and Political Demonstration Course,Anhui Province Quality Engineering Project.
Selected Publications
1.Yanxia zhang, Zhongzhi Wang,Xuefeng Zhang. The intersection of the spectra of two Sturm-Liouville equations. Applied Mathematics and Computation. 2013, Vol.219(9): 4232-4238. (SCI)
2.Yanxia zhang, Xuefeng Zhang.Relations among Eigenvalues of Left-Definite Sturm-Liouville Problems with coupled BCs and separated BCs. Journal of computational and applied mathematics. 2012, Vol.236(14): 3426-3433.(SCI)
3.Yanxia zhang, Xuefeng Zhang,Zhongzhi Wang. Oscillation problem of Left-Definite Sturm–Liouville Problems with coupled BCs. Applied Mathematics and Computation. 2013, Vol.219: 9709-9716. (SCI)
4.Yanxia zhang, Xuefeng Zhang.The indices of Eigenvalues of Left-Definite Sturm-Liouville Problems with coupled boundary conditions. 应用数学,2012,Vol.25(2): 311-317.
5.Yanxia zhang,Huang Zhenyou, Zhang Xuefeng.Computing Eigenvalues of Left-Definite Sturm-Liouville Problems.应用泛函分析学报, 2010,Vol.12(2):110-114.
6.Yanxia zhang,Xuefeng Zhang.The Multiplicity of Eigenvalues of a Vectorial Sturm-liouville. Journal of informationand computing science,2009,Vol.4 (1):41-48.
7. Yanxia zhang, Zhang Xuefeng.Inequalities Among Eigenvalues of Left-Definite Sturm-Liouville Problems.数学季刊,2010,Vol.25(2):300-307.
8.Yanxia zhang. Eigenvalue multiplicity of two-dimensional vector sturm liouville operator .Journal of Anhui University of Technology (Natural Science Edition).2013, Vol.30(1):88-92.
9. Yanxia zhang. A Class of Sturm liouville Operators in Krein Space .Journal of Anhui University of Technology (Natural Science Edition).2010, Vol.27(4):423-426.
10. Yanxia zhang,zhenyou Huang.The oscillation problem of the characteristic function of the indefinite sturm liouville operator .Acta Analysis Functionalis Applicata ,2008,Vol.10(3):275-282.
11. Yanxia zhang,Jin Li.Prediction and analysis of COVID-19 transmission based on sir model ,Journal of Anhui University of Technology (Natural Science Edition),2020,37(1):94-101.
12.Yanxia zhang,Chang Liu.Cross spectra of two sturm liouville problems with periodic boundary conditions,Journal of Anhui University of Technology (Natural Science Edition),2022,39(2):202-209.
13. Yanxia zhang,Xuefeng zhang.Upper bound estimation of the real and imaginary parts of complex eigenvalues for A class of indefinite sturm liouville problems with periodic boundary conditions,mathematics in practice and theory,2023,53(6):216-223.