山東大學數學學院導師：司建國 正文

　　司建國，1958年12月生；教授、博士生導師。

　　學術經歷
　　2003—，山東大學數學學院，教授
　　1996—2003，濱州學院，教授
　　1991—1995，濱州學院，副教授

　　行政職務與學術兼職
　　1996-2003，濱州學院數學系主任
　　1991-1995，濱州學院數學系副主任
　　1996—，美國《數學評論》特邀評論員，美國數學會會員
　　2005—，山東數學學會微分方程專業(yè)委員會副理事長
　　2011—，《Pure Mathematics》編委

　　訪問經歷
　　2002.9—2002.12，韓國仁荷大學、江南大學和中南大學，訪問教授
　　1999.3—1999.7，中國科學院數學研究所，訪問教授
　　1991.3—1992.3，中國科學院成都分院數學研究所，訪問學者

　　學習經歷
　　2001.9—2003.12，四川大學數學學院博士研究生，獲理學博士學位
　　1985.9—1987.1，華東師范大學應用數學研究生班學習
　　1976.9—1978. 9，濱州學院數學系學習

　　項目
　　2012—2015，帶擬周期強迫的非線性Hamilton偏微分方程擬周期解的存在性研究，國家自然科學基金委面上項目，負責人
　　2009—2011，迭代泛函微分方程中的小除數問題和解析解的存在性與穩(wěn)定性，國家自然科學基金委面上項目，負責人
　　2006—2009，迭代泛函微分方程中的解析理論及數值解的研究山東省自然科學基金委面上項目，負責人
　　2010—2013，帶擬周期強迫的非線性Hamilton偏微分方程擬周期解的存在性，山東省自然科學基金委面上項目，負責人

　　論著
　　63.M.Zhang, Jianguo Si, C^{\infty}-solutions for a class of generalized Feigenbaum’s functional equations, Science in China, Series A-Mathematics, 2011.9， In press.
　　62.Hanssmann H，Jianguo Si, Quasi-periodic solutions and stability of the equilibrium for quasi-periodically forced planar reversible and Hamiltonian systems under the Bruno condition，Nonlinearity ，23（2010），555-577.
　　61.Jianguo Si，X.L.Li，Small divisors problem in dynamical systems and analytic solutions of the Shabat equation，J. Math. Anal. Appl., 367(2010), 287-295.
　　60.Jianguo Si，H.Y.Zhao, Small Divisor Problem in Dynamical Systems and Analytic Solutions of a q-Difference Equation with a Singularity at the Origin, Results In Math., 58(2010),337-353.
　　59.L.H.Zhang, Jianguo Si, New soliton and periodic solutions of (1+2)-dimensional nonlinear Schrodinger equation with dual-power law nonlinearity, Communication in nonlinear science and numerical simulation，15（2010），2747-2754.
　　58.M. Zhang, Jianguo Si, Quasi-periodic solutions of nonlinear wave equations with quasi-periodic forcing, Physica D ，238（2009），2185-2215.
　　57.Jianguo Si，M.Zhang, Construction of convex solutions for the second type of Feigenbaum’s functional equations, Science in China, Series A-Mathematics, 52(2009),1617-1638 （中文版：《中國科學》， A輯， 39（2009）， 49-70.）
　　56.J.Liu, Jianguo Si，Analytic solutions of an iterative differential equation under Brjuno condition，Acta Math. Sinica-English Series，25（2009），1469-1482.
　　55.H.Y.Zhao, Jianguo Si, Analytic solutions of a second-order iterative functional differential equation near resonance, Annales Polonici Math.，96（2009），209-226.
　　54.Liu lingxia, JIanguo Si，Analytic solutions of a polynomial-like iterative functional equation near resonance, J. Math. Res. Exp., 29(2009), 737-744.
　　53.Jianguo Si, Invariant tori and unboundedness for second order differential equations with asymmetric nonlinearities depending on the derivatives, Nonlinear Anal.，67（2007），3098-3115.
　　52.Jianguo Si，H.Y.Zhao, Local invertible analytic solutions for an iterative differential equation related to a discrete derivatives sequence, J.Math. Anal. Appl., 335(2007), 428-442.
　　51.Jianguo Si，M.H.Ma, Local invertible analytic solution of a functional differential equation with deviating arguments depending on the state derivative, J.Math.Anal.Appl., 327(2007),723-734.
　　50.Jianguo Si, Invariant tori for a reversible oscillator with a nonlinear damping and periodic forcing term, Nonlinear Analysis 64 (2006) 1475 – 1495.
　　49.JianGuo Si, Weinian Zhang, Analytic solutions of a second-order nonautonomous iterative functional differential equation, J. Math. Anal. Appl. 306(2005), 398-412.
　　48.JianGuo Si, Weinian Zhang, Analytic solutions of a class of iterative functional differential equation, Journal of Computational and Applied Mathematics, 162(2004), 467-481.
　　47.Jian-Guo Si, Weinian Zhang, Gwang-Hui Kim, Analytic solutions of a iterative functional equation , Appl. Math. Comput. 150(2004), 647-659.
　　46.Bin Xu, Weinian Zhang, Jian-Guo Si, Analytic solutions of a functional equation , J. Diff. Equ. Appl., 10(2004),201-211.
　　45.Jian-Guo Si, Weinian Zhang, Analytic solutions of a q-difference equation and an application to iterative functional equation , J. Diff. Equ. Appl. 10(11)(2004), 955-962.
　　44.JianGuo Si, Weinian Zhang, Analytic solutions of a nonlinear iterative functional equation near neutral fixed points and poles, J. Math. Anal. Appl. 284(2003), 373-388.
　　43.Jian-Guo Si, Xin-Ping Wang, Analytic solutions of a second-order iterative functional differential equation, Computers Math. Applic., 43(2002),81-90.
　　42.Jian-Guo Si, Xin-Ping Wang, Wei-Nian Zhang, Analytic invariant curves for a planar map, Applied Math. Letters, 15(2002), 567-573.
　　41.S.S. Cheng, J.-G. Si, X.-P. wang, An existence theorem for iterative functional differential equations, Acta Math. Hungar, 94(2002), 1-17.
　　40.Jian-Guo Si, Sui Sun Cheng, Analytic solutions of a functional differential equation with proportional delays, Bull. Korean Math. Soc., 39(2002), 225-236.
　　39.Jian-Guo Si, Weinian Zhang, Analytic solutions of a functional equation for invariant curves, J. Math. Anal. Appl. 259(2001), 83-93.
　　38.Xin-ping Wang, Si jianguo, Analytic solutions of an iterative functional differential equation, J. Math. Anal. Appl. 262(2001), 490-498.

　　37.Jian-Guo Si, Xin-Ping wang, Differential solution of a polynomial-like iterative equation with variable coefficients, Publications Math. Debrecen, 58(2001), 57-72.
　　36.Xin-Ping Wang, Jian-Guo Si, Differentiable solutions of an iterative functional equation, Aequations Math., {\bf 61}(2001), 79-96.
　　35.Jian-Guo Si, Analytic solutions of a neutral functional differential-difference equation, Appl. Math. E-Notes, 1(2001).
　　34.Jian-Guo Si, Xin-Ping Wang, Analytic solutions of a second-order iterative functional differential equation, Journal of Computational and Applied Mathematics, 116(2000),
　　33.Jian-Guo Si, Xin-Ping wang, Analytic solutions of a second-order functional differential equation with a state dependent delay, Results Math., 39(2000), 345-352.
　　32.Jian-Guo Si , Xin-Ping Wang, Sui Sun Cheng , Nondecreasing and convex $C^2$-solutions of an iterative functional Differential equation, Aequations Math., 60(2000), 38-56.
　　31.Jian-Guo Si, Analytic solutions of a nonlinear functional differential equation with proportional delays, Demonstratio Math. 37(4)(2000)
　　30.J.G.Si, W.N.Zhang and S.S.Cheng, Smooth solutions of an iterative functional equation, Functional Equation and Inequalities, Kluwer Academic Publishers, 518(2000), 221-232.
　　29.J.G.Si, W.N.Zhang and S.S.Cheng, Continuous solutions of an iterative functional inequality on compact interval, Nonlinear Studies, 1(1)(2000), 105-108.
　　28.Aiqin Qi and Jianguo Si, Discussion on continuous solutions of a functional equation, Ann. Diff.Eqs., 16(1)(2000), 56-61.
　　27.Jian-Guo Si, X.P.Wang and S.S.Cheng, Analytic solutions of a functional differential equation with a state derivative dependent delay, Aequationes Math.,(1999)(57),75-86.
　　26.Jian-Guo Si, Xin-ping Wang, Analytic solutions of a polynomial-like iterative functional equation, Demonstratio Math.32(1)(1999), 95-103.
　　25.Jian-Guo Si, Xin-Ping Wang , Analytic Solutions of a Second-order Functional Differential equation with a State Derivative Dependent Delay, Colloquium Math., 79(2)(1999),273-281.
　　24.S.S.Cheng and J.G.Si, Construction of maps with prescribed periodic orbits,International J. Math. Education in Sci. \& Tech., 1999, 30(5), 750-753.
　　23.Xin-Ping Wang, Jian-Guo Si, Analytic solutions of a functional equation of invariant curves, Dynamical systems, Proceeding of the international conference in honor of Prof. Liao Shantao, World Scientific, 1999, 270-274.
　　22.王新平, 司建國, 一類迭代函數方程的連續(xù)解, 數學學報, 1999, 42(5), 945-950.

　　21.Jian-Guo Si, Sui Sun Cheng, Smooth solutions of an nonhomogeneous iterative functional differential equation, Proceedings of the Royal Society of Edinburgh, 128A(1998), 821-831.
　　20.Si jianguo, Xin-ping Wang, Smooth solutions of an nonhomogeneous iterative functional differential equation with variable coefficients, J. Math.Anal. Appl., 226(1998), 377-392.
　　19.Si Jianguo, Zhang weinian, On $C^2$ solutions of a functional equation, Acta Mathematics Sinica (New series), 43(1998),705-710.
　　18.Jian-Guo Si, Sui Sun Cheng, Note on an iterative functional differential equation, Demonstratio Math,31(3)(1998),609-614.
　　17.司建國, 張偉年,一個函數方程的$C^2$類解,數學學報,1998,(41)4,1061-1064.
　　16.Jian-Guo Si, Wen-rong Li, Sui Sun Cheng, Analytic solutions of an iterative functional differential equation, Computers Math. Applic., 33(1997),47-51.
　　15.Jian-Guo Si, Sui Sun Cheng, Analytic solutions of a functional differential equation with statedependent argument, Taiwanese Journal of Mathematics, 1(1997), 471-480.
　　14.Si Jianguo, On the monotonic continuous solutions of the iterated equation $f^N(x)=\sum_{n=0}^{N-1}A_nf^n(x),$ Demonstratio Math.29(3)(1996), 543-547.
　　13.司建國,一類迭代方程$C^1$類解的討論, 數學學報, 1996,39(2), 247-256.
　　12.司建國, 關于高階常系數線性中立型泛函微分方程周期解的討論, 應用數學和力學, 17(1)(1996), 29-37.
　　11.Si Jianguo, Discussion on the periodic solutions for higher-order linear equation of neutral type with constant coefficients, Applied Mathematics and Mechanics,17(1)(1996).
　　10.Si Jianguo, On analytic solutions of the equation of invarint curres,C.R.Math.Rep. Acad.Sci.Canada,17(1)(1995),49-52.(加拿大)
　　9.司建國,關于迭代方程$G(f(x),f^{n_1}(x),\cdots,f^{n_k}(x))=F(x)$的連續(xù)解, 數學研究與評論,1995,15(1),149-150.
　　8.司建國, 關于迭代方程$\sum_{i=1}^n\lambda_if^i(x)=F(x)$局部的解析解的存在性, 數學學報, 1994,37(5),590-600.
　　7.Si Jianguo, Discussion on the $C^n$-solutions of the iterated equation $\lambda_1f(x)+\lambda_2f^2(x)=F(x),$Acta Mathematica Scientia,1994,14(Supp.), 53-63.
　　6.司建國, 關于迭代方程$\sum_{i=1}^n\lambda_if^i(x)=F(x)$的$C^2$類解, 數學學報,1993, 36(3), 348-357.
　　5.司建國, 兩類線性泛函微分方程解析解的存在性, 應用數學學報, 1991, 14(2), 262-276.
　　4.司建國, 李文榮, 關于一些函數積分方程的解析解, 純粹數學與應用數學, 2(1991).
　　3.司建國, 一類迭代系統解的存在性和唯一性, 純粹數學與應用數學, 2(1990).
　　2.李文榮, 司建國, 關于函數方程的連續(xù)解和解析解, 數學研究與評論, 2(1989).
　　1.司建國, 李文榮, Banach 空間中一類函數方程租的連續(xù)解的存在性和唯一性, 工程數學學報, 2(1989).

　　研究興趣
　　常微分方程定性理論、哈密頓動力系統、KAM理論、迭代泛函微分方程的解析理論.

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