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Position: Department: School of Mathematics and Statistics Shandong University(Weihai) Research Interests: TEL：0631-****7328 132****2185 E-mail：qjg816@163.com qijiangan@sdu.edu.cn |
PERSONAL INFORMATION
Sex: Male
Citizenship: Chinese
Date of Birth: August 16, 1964
Marital Status: Married
Highest Degree: Ph.D.
Academic Title: Professor of Mathematics
Research Fields: Differential equations with boundary value problems; Spectral theory of differential operators
EDUCATION:
09/1996-07/1999 School of Mathematics, Shandong University Major: Mathematics Degree: Ph. D.
09/ 1993-07/1996 Department of Mathematics, Shandong Normal University
Major: Mathematics Degree: M. S.
09/1981-07/1984 Department of Mathematics, Shandong Normal University
Major: Mathematics Degree: B. S.
ACADEMIC CAREER
01/2008 – Professor School of Mathematics and Statistics of Shandong University at Weihai
07/2002 – 12/2007 Professor Faculty of Science, Ningbo University
07/1999 – 06/2002 Associate Professor Department of Mathematics, Shandong Normal University
07/1994 – 06/1999 Lecturer Department of Mathematics, Shandong Normal University
TEACHING COURSES
Courses for Undergraduate Students:
Mathematical Analysis
Ordinary Differential Equations
Point Set Topology
Function of a Complex Variable
Function of a Real Variable
Courses for Graduate Students:
Functional Analysis
Ordinary Differential Equations
Equations of Mathematical Physics
Courses for Ph. D. Candidates:
Linear Operators in Hilbert Spaces
Sturm-Liouville Theory
Perturbation Theory for Linear Operators
PUBLICATIONS:
[32]Extremal norm of potentials for Sturm-Liouville eigenvalue problems with separated
boundary conditions, Electron. J. Differential Equations, 2017(99)(2017), 1-11.
[31] Jiangang Qi, Huaqing Sun, Relatively bounded and relatively compact perturbations
for limit circle Hamiltonian systems[J], Integral Equations and Operator Theory, 86(3)
( 2016), 359-375.
[30] Jiangang Qi, Shaozhu Chen, Extremal norms of the potentials recovered from inverse
Dirichlet problems[J], Inverse Problems, 32(2016), 1-13.
[29] Jiangang Qi, Bing Xie, Shaozhu Chen, The upper and lower bounds on non-real
eigenvalues of indefinite Strum-Liouville problems[J], Proceedings of the American
Mathenatical Society, 144 (2016), 547-559
[28] Jiangang Qi, Bing Xie, Shaozhu Chen, Instability of the Rayleigh problem with
piecewise smooth steady states[J], Boundary Value Problems，2016 (2016), 1-18.
[27] Jing Li, Jiangang Qi, Eigenvalue problems for fractional differential equations with
right and left fractional derivatives. Appl. Math. Comput. 256 (2015), 1–10.
[26] Xie Bing, Qi Jiangang, Chen Shaozhu, Non-real eigenvalues of one dimensional
p-Laplacian with indefinite weight. Appl. Math. Lett. 48 (2015), 143–149.
[25] Jussi Behrndt, Shaozhu Chen, Friedrich Philipp, Jiangang Qi, Estimates on the non-real
eigenvalues of regular indefinite Sturm-Liouville problems.
Proc. Roy. Soc. Edinburgh Sect. A 144 (2014), 1113–1126.
[24] Jiangang Qi, Shaozhu Chen, Bing Xie, Instability of plane shear flows,
Nonlinear Anal., 109(2014), 23-32.
[23] Jiangang Qi, Shaozhu Chen, A priori bounds and existence of non-real eigenvalues
of indefinite Sturm-Liouville problems, J. Spectr. Theory, 4(1)(2014), 53-63.
[22] Bing Xie, Jiangang Qi, Non-real eigenvalues of indefinite Sturm–Liouville Problems,
J. Differential Equations, 255 (2013), 2291–2301.
[21] Bing Xie, Xinwei Guo, Jiangang Qi, Classification of non-symmetric Sturm-Liouville
systems and operator realizations. Acta Appl. Math. 125 (2013), 27–47.
[20] Sun, Huaqing; Qi, Jiangang; Criteria of the three cases for non-self-adjoint singular
Sturm-Liouville difference equations. J. Difference Equ. Appl. 18 (2012), 2069–2087.
[19] Jiangang Qi, Shaozhu Chen, Essential Spectra of One-Dimensional Dirac Operators,
Integral Equations and Operator Theory, 74(1)(2012), 7-24.
[18] Jiangang Qi, Shaozhu Chen, Eigenvalue problems of the model from nonlocal
continuum mechanics, Journal of Mathematical Physics, 52(7)(2011)
[17] Jiangang Qi, Zhaowen Zheng, Huaqing Sun, Classification of Sturm-Liouville
differential equations with complex coefficients and operator realizations,
Proc. Roy. Soc. A: Math., Phy.and Engin. Sci, 467(2131)(2011), 1835-1850.
[16] Jiangang Qi, Shaozhu Chen, Essential spectra of singular matrix differential operators
of mixed order, J. Differential Equations, 250(12)(2011), 4219-4235.
[15] Jiangang Qi, Shaozhu Chen, On an open problem of Weidmann: Essential spectra and
square-integrable solutions, Proc. Roy. Soc. of Edinburgh Sec A: Math.
141(2)(2011), 417-430.
[14] Jiangang Qi, Shaozhu Chen, Essential spectra of singular matrix differential operators
of mixed order in the limit circle case, Math. Nachr. 284(2-3)(2011), 342–354.
[13] Sun, Huaqing; Qi, Jiangang On classification of second-order differential equations with
complex coefficients. J. Math. Anal. Appl. 372 (2010), no. 2, 585–597.
[12] Zheng, Zhaowen; Qi, Jiangang; Chen, Shaozhu Eigenvalues below the lower bound of
minimal operators of singular Hamiltonian expressions.
Comput. Math. Appl. 56 (2008), no. 11, 2825–2833
[11] Jiangang Qi, Limit point criteria for semi-degenerate Hamiltonian
J. Math. Anal. Appl., 2007.
[10] Jiangang Qi, Boundedness of solutions for singular Hamiltonian differential
Nonlinear Analysis, 66 (2007), 3, 663–678.
[9] Qi, Jiangang, Periodic solutions and stability to nonlinear autonomous impulsive
differential equations.Indian J. Pure Appl. Math. 37 (2006), no. 2, 99–110.
[8] Jiangang Qi, Non-limit-Circle Criteria for Singular Hamiltonian Systems,
J. Math. Anal. Appl. 305 (2005), no. 2, 599–616.
[7] Qi, Jiangang; Zhou, Songping Limit-point criterion for singular linear Dirac differential
systems.Comput. Math. Appl. 49 (2005), 765–775.
[6] Jiangang Qi, Lower bound for the spectrum and the presence of pure point spectrum
1. J. Math. Anal. Appl., 295 (2004), no. 2, 539–556.
[5] Jiangang Qi, Shaozhu Chen, Strong limit-point (n) classifications for singular
Hamiltonian. Proc. Amer. Math. Soc. 132 (2004), no. 6, 1667–1674
[4] Qi, Jiangang; Fu, Xilin Existence of limit cycles of impulsive differential equations with
impulses at variable times. Nonlinear Anal. 44 (2001), no. 3, Ser. A: Theory Methods,
345–353.
[3] Fu, Xilin; Qi, Jiangang; Liu, Yansheng General comparison principle for impulsive variable
time differential equations with application. Nonlinear Anal. 42 (2000), no. 8, 1421–1429.
[2] Qi, Jiangang; Liu, Yansheng Monotone iterative technique for impulsive differential
equations with time variables. Korean J. Comput. Appl. Math. 7 (2000), no. 2, 419–432.
[1] Qi, Jiangang; Zhuang, Wan Existence of singular positive solutions of semilinear elliptic
equations. Acta Math. Appl. Sinica (English Ser.) 14 (1998), no. 1, 109–112.
RESEARCH PROJECTS:
2018-2021 “Nonlocal Sturm-Liouville spectral problems and corresponding extremal problems (11771253)”, ￥600，000，granted by National Natural Sciences Foundation of China
2013-2016 “On the indefinite spectral problems and the stability of potential vorticity dynamics (11271229)”, ￥600，000，granted by National Natural Sciences Foundation of China
2012-2014 “Spectral properties of PT-symmetric differential operator with applications (ZR2012AM002)”, ￥60，000, granted by Natural Science Foundation of Shandong Province
2008-2011 “Non-relatively compact perturbations of Hamiltonian differential operators with applications (Y2008A02)”, ￥50，000, granted by Natural Science Foundation of Shandong Province
2005-2008 “Deficiency index theory of singular Hamitonian differential systems (Y605192)”, ￥60，000, granted by Natural Science Foundation of Zhejiang Province
AWARDS: Reviewer of American Mathematical Society’s Mathematics Reviews
