孫華清，博士，現為山東大學（威海）數學與統計學院教授。
基本介紹
研究領域,科研項目,學術論文,獲獎情況,學習經歷,學術經歷,職務與兼職,訪問經歷,
研究領域
微分運算元譜理論、差分方程、動力系統、哈密頓系統
科研項目
1.《奇異Hamilton系統的譜及其相關研究》，國家自然科學基金面上項目，2020-2023，主持
2.《奇異線性Hamilton系統譜的研究及其套用》,山東省自然科學基金面上項目，2019-2022，主持
3. 《奇異J-對稱哈密頓系統譜問題研究》，國家自然科學基金面上項目，2015-2018，主持
4.《非對稱線性差分系統譜理論研究》，國家自然科學基金青年項目，2012-2014，主持
5.《奇異J-對稱微分運算元的譜問題》，中國博士後基金面上項目，2014-2016，主持
6.《非自伴線性哈密頓系統譜性質的研究》，山東省自然科學基金青年項目，2011-2013，主持
7.《奇異哈密頓運算元譜分布研究》，山東省博士後創新基金，2013-2015，主持
8.《低鬆弛預應力鋼絞線鬆弛試驗數據線性回歸模型》，威海市科技局，主持
9.《奇異微分運算元譜定性分析的相關研究》，山東大學自主創新項目，主持
10.《關於分數階微分方程譜問題的研究》，國家自然科學基金青年項目，2017-2019，第二位
11.《可壓流體力學方程組弱(強)解的適定性及其大時間行為》，山東省自然科學基金面上項目，2015-2017，第二位
學術論文
[27]Yang Chen, Sun Huaqing, Essential spectra of singular Hamiltonian differential operators of arbitrary order under a class of perturbations, Studies in Applied Mathematics, 147 (2021), 209-229.
[26]Yang Chen, Sun Huaqing, Friedrichs extensions of a class of singular Hamiltonian systems, Journal of Differential Equations, 293 (2021), 359-391.
[25] Sun Huaqing, Xie Bing, Spectra of a class of non-symmetric operators in Hilbert spaces with applications to singular differential operators, Proceedings of the Royal Society of Edinburgh Section A-Mathematics, 150 (2019), 1769-1790.
[24] Sun Huaqing, Qi Jiangang, Stability of essential spectra of singular Sturm-Liouville differential operators under perturbations small at infinity, Mathematical Methods in the Applied Sciences 41 (2018) 2031-2038.
[23] Xie Bing, Sun Huaqing, Guo Xinwei, Non-real eigenvalues of symmetric Sturm-Liouville problems with indefinite weight functions, Electronic Journal of Qualitaive Theory of Differential Equations 2 (2017) 1-14.
[22] Qi Jiang, Sun Huaqing, Relatively bounded and relatively compact perturbations for limit circle Hamiltonian systems, Integr. Equ. Oper. Theory 86 (2016), 359–375.
[21] Sun Huaqing, Kong Qingkai, Shi Yuming, Essential spectrum of singular discrete linear Hamiltonian systems, Math. Nachr. 289, (2016), No. 2–3, 343–359.
[20] Sun Huaqing, Shi Yuming, On essential spectra of singular linear Hamiltonian systems, Linear Algebra Appl. 469 (2015), 204-229.
[19] Sun Huaqing, Shi Yuming, Jian Wenwen, J-self-adjoint extensions of a class of Hamiltonian differential systems, Linear Algebra Appl. 462, (2014), 204-232.
[18] Jian Wenwen, Sun Huaqing, On bounds of eigenvalues of complex Sturm-Liouville boundary value problems, Abstr. Appl. Anal. 2014, Art. ID 362340, 4 pp.
[17] Sun Huaqing, Shi Yuming, Spectral properties of singular discrete linear Hamiltonian systems, J. Difference Equ. Appl. 20 (2014), no. 3, 379–405
[16] Sun Huaqing, Simplicity and spectrum of singular Hamiltonian systems of arbitrary order, Abstr. Appl. Anal. 2013, Art. ID 202851, 6 pp.
[15] Ren Guojing, Sun Huaqing, J-self-adjoint extensions for a class of discrete linear Hamiltonian systems, Abstr. Appl. Anal. 2013, Art. ID 904976, 19 pp.
[14] Sun Huaqing, Ren Guojing, J-self-adjoint extensions for second-order linear difference equations with complex coefficients, Adv. Difference Equ. 2013, 2013:3, 26 pp.
[13] Sun Huaqing, Qi Jiangang, Criteria of the three cases for non-self-adjoint singular Sturm-Liouville difference equations, J. Difference Equ. Appl. 18 (2012), no. 12, 2069–2087.
[12] Sun Huaqing, Qi Jiangang, The theory for J-Hermitian subspaces in a product space, ISRN Math. Anal. 2012, Art. ID 676835, 16 pp.
[11] Qi Jiangang, Zheng Zhaowen, Sun Huaqing, Classification of Sturm-Liouville differential equations with complex coefficients and operator realizations, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 467 (2011), no. 2131, 1835–1850.
[10] Sun Huaqing, Qi Jiangang, Jing Haibin, Classification of non-self-adjoint singular Sturm-Liouville difference equations, Appl. Math. Comput. 217 (2011), no. 20, 8020–8030.
[9] Sun Huaqing, Shi Yuming, Self-adjoint extensions for singular linear Hamiltonian systems, Math. Nachr. 284 (2011), no. 5-6, 797–814.
[8] Shi Yuming, Sun Huaqing,Self-adjoint extensions for second-order symmetric linear difference equations, Linear Algebra Appl. 434 (2011), no. 4, 903–930.
[7] Sun Huaqing, Qi Jiangang, On classification of second-order differential equations with complex coefficients, J. Math. Anal. Appl. 372 (2010), no. 2, 585–597.
[6] Sun Huaqing, Shi Yuming, Self-adjoint extensions for linear Hamiltonian systems with two singular endpoints, J. Funct. Anal. 259 (2010), no. 8, 2003–2027.
[5] Sun Huaqing, Limit point criteria for singular linear discrete Hamiltonian systems, (Chinese) J. Shandong Univ. Nat. Sci. 45 (2010), no. 3, 76–79.
[4] Sun Huaqing, On the limit-point case of singular linear Hamiltonian systems, Appl. Anal. 89 (2010), no. 5, 663–675.
[3] Sun Huaqing, Shi Yuming, Strong limit point criteria for a class of singular discrete linear Hamiltonian systems, J. Math. Anal. Appl. 336 (2007), no. 1, 224–242.
[2] Sun Huaqing, Shi Yuming, Limit-point and limit-circle criteria for singular second-order linear difference equations with complex coefficients, Comput. Math. Appl. 52 (2006), no. 3-4, 539–554.
[1] Sun Huaqing, Shi Yuming, Eigenvalues of second-order difference equations with coupled boundary conditions, Linear Algebra Appl. 414 (2006), no. 1, 361–372.
獲獎情況
1.榮獲 2016 年度山東大學威海優秀教師;
2.2016 年 6 月，指導本科生畢業論文榮獲山東省省級優秀論文;
3.2018 年 9 月，被評為山東大學威海優秀本科生指導教師;
4.2018 年 11 月，被評為山東大學威海暑期社會實踐活動優秀指導教師;
5.指導全國大學生數學建模競賽 2015 年以來獲獎 17 項， 其中包括國家二等獎以上 2 項，省級一等獎 7項；
6.指導美國大學生數學建模競賽，2014 以來獲獎 7 項， 其中包括一等獎 2 項，二等獎 4 項。
學習經歷
2004-2007， 山東大學數學學院 博士學位;
2001-2004， 山東大學數學學院 理學碩士;
學術經歷
2016-至今，山東大學威海數學與統計學院，教授；
2013-2016， 山東大學金融學院，博士後；
2010-2016， 山東大學威海數學與統計學院，副教授；
2007-2010， 山東大學威海數學與統計學院，講師
職務與兼職
曾任數學與套用數學系主任以及院長助理
美國數學評論評論員
多個SCI雜誌審稿人
訪問經歷
2012.12-2013.03，訪問美國Northern Illinois University
2012.01, 南開大學，陳省身研究所訪問
