研究方向
套用微分方程、微分方程理論
學習和工作簡歷
1985年7月畢業於河北師範大學大學數學系, 獲理學學士學位;
1996年3月畢業於北京理工大學大學數學系,獲理學碩士學位;
2000年8月至今在上海理工大學理學院工作,2005年9月晉升為教授,任工程數學教研室主任,套用數學、基礎數學專業碩士生導師。
教學及科研項目
(1)2002.8---2004.8 常微分方程的初值與邊值問題,上海市高校青年科研基金項目(No.02GQ24) (主持人);
(2)2005.10---2007.12 時滯微分方程周期解與非局部問題研究, 上海市教育委員會科研項目(No.05EZ52) (主持人)
(3)2009.12---2011.12 複雜系統中的分數階微分模型研究,上海市教育委員會科研創新基金重點項目(No.10ZZ93)(主持人)
(4)2005.12---2008.12 《機率論與數理統計》課程建設,上海市重點課程建設項目 (主持人)
教學及科研成果
1.發表部分論文
(1). 時滯Duffing型方程周期解的存在唯一性,數學物理學報,Vol .(27)2007A(1)P37-44;
(2). 一類二階三點邊值問題單調正解的存在性,套用數學學報,Vol.30,2007 (1).P111-119;
(3). 多時滯中立型微分積分方程的周期解,系統科學與數學,2007,Vol 27(4),P615-623;
(4). p-Laplacian運算元方程三點邊值問題單調正解的存在性,吉林大學學報(理學版) Vol.45,2007(1),P49-55;
(5). 一類三點邊值問題解的存在性,純粹數學與套用數學,Vol 23(2007), P38-44;
(6). The Method of Upper and Lower Solutions for Second-Order Non- Homogeneous Two-Point Boundary Value Problem, Electronic Journal of Differential Equations,Vol. 2007(2007),No.116 P1-10;
(7). Multiplicity results for second- order m-point boundary value problem,Journal of mathematical analysis and applications,Vol. 342(2006), P532-542;
(8). Boundary Value Problems for Second-Order Functional Differential Equations on Infinite Intervals,Nonlinear Studies,Vol. 16, No.2(2009):171-186;
(9). Positive solutions to a type of nonlinear three-point boundary value problem with sign changing nonlinearities, Computers and Mathematics with Applications,Vol.57 (2009):348-355,SCI二區;
(10).The Iteration Method of Solving a Type of Three-Point Boundary Value Problem, J. Appl. Math. & Informatics, Vol. 27, No. 3(2009): 475 – 487;
(11). 一類微分方程組的非齊次Sturm-Liouville 邊值問題解的存在性, Vol.111,No11(2009):P79-85.
(12) Multiple solutions for fractional differential equations with nonlinear boundary conditions, Comput. Marh. Appl. 59(2010)2880-2886 ,SCI二區.
(13) Existence and Uniqueness of Solution for Fractional Differential Equations with Integral Boundary Conditions , Electron. J. Qual. Theory Differ. Equ.,2009,No.69 ,1-10,SCI.
(14) Positive Solutions for Singular Sturm-Liouville Boundary Value Problems with Integral Boundary Conditions, Electron. J. Qual. Theory Differ. Equ., 2010,No.77 ,1-15,SCI.
(15) Multiple solutions of nonlocal boundary value problems for fractional differential equations on the half-line, Electron. J. Qual. Theory Differ. Equ., 2011, No. 56 ,1-14,SCI.
(16) Multiplicity of positive solutions for four-point boundary value problems of impulsive differential equations with p-Laplacian, Electronic Journal of Differential Equations ,Vol.2010(2010), No.52,pp.1–10. SCI.
2.出版著作
(1)《機率論與數理統計》,科學出版社,2009.1(主編)(獲上海市優秀高校教材二等獎)
(1)《機率論與數理統計學習指導》,科學出版社,2010.9(主編)
(2) 《高等數學》,機械工業出版社,2000.7(參編)
(3)《線性代數學習指導》,湖南科技出版社,2005.(參編)