山東大學(xué)數(shù)學(xué)學(xué)院導(dǎo)師：司建國(guó) 正文

　　司建國(guó)，1958年12月生；教授、博士生導(dǎo)師。

　　學(xué)術(shù)經(jīng)歷
　　2003—，山東大學(xué)數(shù)學(xué)學(xué)院，教授
　　1996—2003，濱州學(xué)院，教授
　　1991—1995，濱州學(xué)院，副教授

　　行政職務(wù)與學(xué)術(shù)兼職
　　1996-2003，濱州學(xué)院數(shù)學(xué)系主任
　　1991-1995，濱州學(xué)院數(shù)學(xué)系副主任
　　1996—，美國(guó)《數(shù)學(xué)評(píng)論》特邀評(píng)論員，美國(guó)數(shù)學(xué)會(huì)會(huì)員
　　2005—，山東數(shù)學(xué)學(xué)會(huì)微分方程專業(yè)委員會(huì)副理事長(zhǎng)
　　2011—，《Pure Mathematics》編委

　　訪問經(jīng)歷
　　2002.9—2002.12，韓國(guó)仁荷大學(xué)、江南大學(xué)和中南大學(xué)，訪問教授
　　1999.3—1999.7，中國(guó)科學(xué)院數(shù)學(xué)研究所，訪問教授
　　1991.3—1992.3，中國(guó)科學(xué)院成都分院數(shù)學(xué)研究所，訪問學(xué)者

　　學(xué)習(xí)經(jīng)歷
　　2001.9—2003.12，四川大學(xué)數(shù)學(xué)學(xué)院博士研究生，獲理學(xué)博士學(xué)位
　　1985.9—1987.1，華東師范大學(xué)應(yīng)用數(shù)學(xué)研究生班學(xué)習(xí)
　　1976.9—1978. 9，濱州學(xué)院數(shù)學(xué)系學(xué)習(xí)

　　項(xiàng)目
　　2012—2015，帶擬周期強(qiáng)迫的非線性Hamilton偏微分方程擬周期解的存在性研究，國(guó)家自然科學(xué)基金委面上項(xiàng)目，負(fù)責(zé)人
　　2009—2011，迭代泛函微分方程中的小除數(shù)問題和解析解的存在性與穩(wěn)定性，國(guó)家自然科學(xué)基金委面上項(xiàng)目，負(fù)責(zé)人
　　2006—2009，迭代泛函微分方程中的解析理論及數(shù)值解的研究山東省自然科學(xué)基金委面上項(xiàng)目，負(fù)責(zé)人
　　2010—2013，帶擬周期強(qiáng)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(xué)基金委面上項(xiàng)目，負(fù)責(zé)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(guó)科學(xué)》， 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(guó), 一類迭代函數(shù)方程的連續(xù)解, 數(shù)學(xué)學(xué)報(bào), 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(guó), 張偉年,一個(gè)函數(shù)方程的$C^2$類解,數(shù)學(xué)學(xué)報(bào),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(guó),一類迭代方程$C^1$類解的討論, 數(shù)學(xué)學(xué)報(bào), 1996,39(2), 247-256.
　　12.司建國(guó), 關(guān)于高階常系數(shù)線性中立型泛函微分方程周期解的討論, 應(yīng)用數(shù)學(xué)和力學(xué), 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(guó),關(guān)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(shù)學(xué)研究與評(píng)論,1995,15(1),149-150.
　　8.司建國(guó), 關(guān)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(shù)學(xué)學(xué)報(bào), 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(guó), 關(guān)于迭代方程$\sum_{i=1}^n\lambda_if^i(x)=F(x)$的$C^2$類解, 數(shù)學(xué)學(xué)報(bào),1993, 36(3), 348-357.
　　5.司建國(guó), 兩類線性泛函微分方程解析解的存在性, 應(yīng)用數(shù)學(xué)學(xué)報(bào), 1991, 14(2), 262-276.
　　4.司建國(guó), 李文榮, 關(guān)于一些函數(shù)積分方程的解析解, 純粹數(shù)學(xué)與應(yīng)用數(shù)學(xué), 2(1991).
　　3.司建國(guó), 一類迭代系統(tǒng)解的存在性和唯一性, 純粹數(shù)學(xué)與應(yīng)用數(shù)學(xué), 2(1990).
　　2.李文榮, 司建國(guó), 關(guān)于函數(shù)方程的連續(xù)解和解析解, 數(shù)學(xué)研究與評(píng)論, 2(1989).
　　1.司建國(guó), 李文榮, Banach 空間中一類函數(shù)方程租的連續(xù)解的存在性和唯一性, 工程數(shù)學(xué)學(xué)報(bào), 2(1989).

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

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