蒋继发

蒋继发 于1982年元月毕业于安徽大学数学系; 1982年元月至1984年9月在安徽大学数学系任教; 1984年9月至1986年7月于安徽大学数学物理研究所攻读硕士学位, 并于1986年7月获硕士学位, 导师为许政范教授; 1986年9月至1989年7月在中国科学院数学所攻读博士学位, 并于1989年7月获博士学位, 导师为余澍祥研究员, 博士论文获首届中科院院长奖学金特别奖。 1989年9月至1995年12月在安徽师范大学数学系工作, 并于1991年12月在安徽师范大学破格晋升为教授。1995年至今在中国科技大学数学系工作, 并任基础数学博士点和生物数学博士点的博士导师. 自1998年10月至1999年8月在英国Warwick大学数学研究中心访问，合作研究。1992年被国家人事部评为有突出贡献的中青年专家。 一项成果获安徽省科技进步奖二等奖（1992年）。 研究方向为微分方程与动力系统. 目前感兴趣的领域是: 单调与竞争动力系统; 反应扩散方程与无限维动力系统; 生物数学. 教学概况 1995年至今一直承担数学系本科生常微分方程教学工作。 开设研究生课程： 常微分方程几何理论 微分动力系统原理 无穷维动力系统几何理论 单调动力系统 已培养博士2名，另有两名博士在读。 科研情况 研究分支包括： (1) 单调动力系统与竞争动力系统； (2) 高维常微分方程的定性研究与混沌； (3) 反应扩散方程与无限维动力系统; (4)生物数学. 到目前为止，已发表60余篇研究论文，经检索31篇被《SCI》收录, 《EI》收录3篇，被《SCI》类杂志引用至少23篇次,美国数学学会出版的系列专著《Mathematical Surveys and Monographs》第41卷（Monotone Dynamical Systems: an Introduction to the Theory of Competitive and Cooperative Systems），P. Polacik的专著《Parabolic Equations: Asymptotic Behavior and Dynamics on Invariant Manifolds》介绍和引用了本人部分工作，文章的引用者包括著名数学家M. W. Hirsch,K. Mischaikow, E. N. Dancer, H. L. Smith, P.Polacik等。 科研项目: 1. 2. 发表论文 [1] 1 942 224 Wang, Yi; Jiang, Jifa, Uniqueness and attractivity of the carrying simplex for discrete-time competitive dynamical systems. J. Differential Equations 186 (2002), no. 2, 611--632. 34Cxx (37Nxx 54H20 92D25) [2] 1 929 116 Ping, Yan; Jifa, Jiang, On global asymptotic stability of second order nonlinear differential systems. Appl. Anal. 81 (2002), no. 3, 681--703. 34Dxx [3] 1 906 652 Liang, Xing; Jiang, Jifa, On the topological entropy, nonwandering set and chaos of monotone and competitive dynamical systems. Chaos Solitons Fractals 14 (2002), no. 5, 689--696. 37Bxx [4] 1 930 616 (Review) Wang, Yi; Jiang, Jifa, The long-run behavior of periodic competitive Kolmogorov systems. Nonlinear Anal. Real World Appl. 3 (2002), no. 4, 471--485. (Reviewer: Tomá\v s Gedeon) 34C60 (34D05 37N25 92D25) [5] 2003e:37133 Liang, Xing; Jiang, Jifa, The classification of the dynamical behavior of 3-dimensional type $K$ monotone Lotka-Volterra systems. Nonlinear Anal. 51 (2002), no. 5, Ser. A: Theory Methods, 749--763. (Reviewer: Zhidong Teng) 37N25 (34C12 37C10 92D25) [6] 2003d:37149 Liang, Xing; Jiang, Jifa, On the finite-dimensional dynamical systems with limited competition. Trans. Amer. Math. Soc. 354 (2002), no. 9, 3535--3554 (electronic). (Reviewer: Hal Leslie Smith) 37N25 (34D23 37B99 92B05) [7] 2002m:37036 Wang, Yi; Jiang, Jifa, The general properties of discrete-time competitive dynamical systems. J. Differential Equations 176 (2001), no. 2, 470--493. (Reviewer: Joseph So) 37C65 (37C20 37N25) [8] 2002m:35123 Wang, Yi; Jiang, Jifa, The convergence of a class of quasimonotone reaction-diffusion systems. J. London Math. Soc. (2) 64 (2001), no. 2, 395--408. (Reviewer: Daniel \v Sev\v covi\v c) 35K57 (35B40 35K50) [9] 2001h:92042 Jiang, Jifa; Tu, Caifeng, The asymptotic behavior of models of cooperation with a concavity property. Nonlinear Anal. Real World Appl. 1 (2000), no. 3, 329--344. (Reviewer: Hal Leslie Smith) 92D25 (34C11 34D05) [10] 2001h:34055 Yan, Ping; Jiang, Ji Fa, A necessary and sufficient condition for oscillation of the generalized Liénard system. (Chinese) Math. Appl. 13 (2000), no. 4, 16--20. (Reviewer: Ju Rang Yan) 34C10 [11] 2001c:34085 Yan, Ping; Jiang, Ji Fa, Existence of nontrivial periodic solutions for the generalized Liénard equation. (Chinese) Math. Appl. 13 (2000), no. 3, 31--34. 34C25 [12] 2001c:34084 Yan, Ping; Jiang, Ji Fa, The existence and nonexistence of periodic solutions of generalized Liénard equations. (Chinese) J. Systems Sci. Math. Sci. 20 (2000), no. 2, 210--216. (Reviewer: Zhanhai Gao) 34C25 [13] 2000j:34065 Jiang, Ji Fa, Convergence of solutions to cooperative systems with weak convexity. (Chinese) Chinese Ann. Math. Ser. A 20 (1999), no. 2, 235--244; translation in Chinese J. Contemp. Math. 20 (1999), no. 2, 289--300 (Reviewer: Yang Kuang) 34C60 (34D23 92D25) [14] 2000j:34048 Yan, Ping; Jiang, Ji Fa, The center of the system $\dot x=h(y)-F(x), \dot y=-g(x)$. (Chinese) J. Systems Sci. Math. Sci. 19 (1999), no. 3, 353--358. (Reviewer: Mao An Han) 34C05 [15] 2000b:34082 Tu, Caifeng; Jiang, Jifa, The necessary and sufficient conditions for the global stability of type-$K$ Lotka-Volterra system. Proc. Amer. Math. Soc. 127 (1999), no. 11, 3181--3186. (Reviewer: Virginia W. Noonburg) 34D05 (92D25) [16] 99k:92032 Jiang, J. F., The complete classification of asymptotic behavior for bounded cooperative Lotka-Volterra systems with the assumption (SM). Quart. Appl. Math. 56 (1998), no. 1, 37--53. 92D25 (34C11) [17] 99j:34073 Tu, Caifeng; Jiang, Jifa, Global stability and permanence for a class of type $K$ monotone systems. SIAM J. Math. Anal. 30 (1999), no. 2, 360--378 (electronic). (Reviewer: Hal Leslie Smith) 34D20 (34C35 90A16 92D25) [18] 99e:34068 Jiang, Ji Fa, Convergence of solutions of a class of order-preserving systems. (Chinese) Chinese Ann. Math. Ser. A 18 (1997), no. 1, 109--116; translation in Chinese J. Contemp. Math. 18 (1997), no. 1, 75--83 (Reviewer: Yang Kuang) 34D20 (34C99) [19] 99d:34066 Wang, Xian; Jiang, Jifa; Yan, Ping, Analysis of global bifurcation for a class of systems of degree five. J. Math. Anal. Appl. 222 (1998), no. 2, 305--318. (Reviewer: Douglas S. Shafer) 34C23 (34C25 58F14) [20] 99c:92061 Caifeng, Tu; Jifa, Jiang, The coexistence of a community of species with limited competition. J. Math. Anal. Appl. 217 (1998), no. 1, 233--245. (Reviewer: F. Berezovskaya) 92D40 (34D99) [21] 99b:34072 Jiang, Jifa, Existence and non-existence of periodic solutions of generalized Liénard equations with damping of no lower bound. A Chinese summary appears in Acta Math. Sinica 40 (1997), no. 1, 159. Acta Math. Sinica (N.S.) 12 (1996), no. 4, 361--371. 34C25 (34C05) [22] 98m:34077 Jiang, J. F., Qualitative investigation of the second order equation $\ddot x+f(x,\dot x)\dot x+g(x)=0$. Math. Proc. Cambridge Philos. Soc. 122 (1997), no. 2, 325--342. (Reviewer: Gabriele Villari) 34C15 (34C05 34C10 34D20) [23] 98h:34089 Jiang, Ji-Fa, Periodic monotone systems with an invariant function. SIAM J. Math. Anal. 27 (1996), no. 6, 1738--1744. 34C35 (34D20) [24] 98a:34048 Jiang, Jifa, The global stability of a class of second order differential equations. Nonlinear Anal. 28 (1997), no. 5, 855--870. (Reviewer: A. Ya. Savchenko) 34D20 [25] 97m:94050 Jiang, Jifa; Cheng, Zhengwu, Convergence of solutions for RLC-nonlinear networks with time-varying elements. Acta Math. Sci. (English Ed.) 16 (1996), no. 4, 393--405. 94C05 (34C25 34D99) [26] 97h:58131 Jiang, Ji-Fa, On the analytic order-preserving discrete-time dynamical systems in $\bold R\sp n$ with every fixed point stable. J. London Math. Soc. (2) 53 (1996), no. 2, 317--324. (Reviewer: Norman Dancer) 58F21 (34C25 47H20) [27] 97g:92023 Jiang, J. F., The global stability of a system of modeling a community with limited competition. Proc. Amer. Math. Soc. 125 (1997), no. 5, 1381--1389. (Reviewer: George Karakostas) 92D40 (34C05) [28] 97g:34062 Jiang, Jifa, Type $K$-monotone systems with an order-increasing invariant function. A Chinese summary appears in Chinese Ann. Math. Ser. A 17 (1996), no. 4, 516. Chinese Ann. Math. Ser. B 17 (1996), no. 3, 335--342. 34D05 (34C11) [29] 97e:58136 Jiang, Ji-Fa; Yu, Shu-Xiang, Stable cycles for attractors of strongly monotone discrete-time dynamical systems. J. Math. Anal. Appl. 202 (1996), no. 1, 349--362. (Reviewer: Hal Leslie Smith) 58F10 (58F12) [30] 96m:34083 Jiang, J. F., Five-dimensional cooperative systems with every equilibrium stable. Differential equations and control theory (Wuhan, 1994), 121--127, Lecture Notes in Pure and Appl. Math., 176, Dekker, New York, 1996. (Reviewer: Janusz Mierczy\'nski) 34C35 (34C05) [31] 96j:39012 Jiang, Ji Fa, Stability of a class of time-varying linear difference equations and the construction of various classes of counterexamples. (Chinese) J. Systems Sci. Math. Sci. 15 (1995), no. 2, 186--192. 39A11 [32] 96i:34072 Zheng, Guan Bao; Jiang, Ji Fa, Convergence of solutions to a class of second-order equations. (Chinese) Gaoxiao Yingyong Shuxue Xuebao Ser. A 10 (1995), no. 1, 81--86. (Reviewer: Jann-Long Chern) 34C11 (34D05) [33] 96h:34090 Jiang, J. F., Sublinear discrete-time order-preserving dynamical systems. Math. Proc. Cambridge Philos. Soc. 119 (1996), no. 3, 561--574. (Reviewer: Hal Leslie Smith) 34C35 (34C25) [34] 96h:34056 Jiang, Ji Fa, On the qualitative behavior of solutions of the equation $\ddot x+f\sb 1(x)\dot x+f\sb 2(x)\dot x{}\sp 2+g(x)=0$. J. Math. Anal. Appl. 194 (1995), no. 3, 597--611. (Reviewer: Alan R. Hausrath) 34C10 (34C25 34D20) [35] 96e:58085 Jiang, J. F., Three-dimensional order-preserving discrete-time dynamical systems with every fixed point stable. Comm. Appl. Nonlinear Anal. 2 (1995), no. 3, 85--95. (Reviewer: Hal Leslie Smith) 58F10 (34C35 34D99) [36] 95m:34107 Jiang, Ji Fa, Convergence of smooth, strongly monotone flows defined by semilinear parabolic equations to semi-asymptotically stable singular points. (Chinese) Acta Math. Sinica 37 (1994), no. 5, 671--677. (Reviewer: Xiao Biao Lin) 34G20 (34C35 35K55) [37] 95i:34089 Jiang, Ji Fa, On the global stability of cooperative systems. Bull. London Math. Soc. 26 (1994), no. 5, 455--458. (Reviewer: Janusz Mierczy\'nski) 34D05 (34C35 34D20 58F10) [38] 95i:34061 Jiang, Ji Fa, A Liapunov function for four-dimensional positive feedback systems. Quart. Appl. Math. 52 (1994), no. 4, 601--614. (Reviewer: Hal Leslie Smith) 34C11 (92C40) [39] 95i:34049 Jiang, Ji Fa, Three- and four-dimensional cooperative systems with every equilibrium stable. J. Math. Anal. Appl. 188 (1994), no. 1, 92--100. (Reviewer: Janusz Mierczy\'nski) 34C05 (34C11 34D20) [40] 95g:34064 Jiang, Ji Fa, Monotone extension of a continuous mapping on a $d$-hypersurface. (Chinese) Proceedings of the Conference on Qualitative Theory of ODE (Chinese) (Nanjing, 1993). Nanjing Daxue Xuebao Shuxue Bannian Kan 1993, suppl., 213--218. 34C35 [41] 95a:34054 Jiang, Ji Fa, The boundedness and convergence of solutions of second-order differential equations with applications. Ann. Mat. Pura Appl. (4) 165 (1993), 29--47. (Reviewer: Harlan W. Stech) 34C11 (34D20) [42] 94i:34088 Jiang, Ji Fa, The algebraic criteria for the asymptotic behavior of cooperative systems with concave nonlinearities. Systems Sci. Math. Sci. 6 (1993), no. 3, 193--208. (Reviewer: Hal Leslie Smith) 34C25 (34D20) [43] 94h:34049 Jiang, Ji Fa, Convergence to trap almost everywhere for flows generated by cooperative and irreducible vector fields. A Chinese summary appears in Chinese Ann. Math. Ser. A 14 (1993), no. 3, 390. Chinese Ann. Math. Ser. B 14 (1993), no. 2, 165--174. (Reviewer: Hal Leslie Smith) 34C35 (34D05 58F25) [44] 94g:34077 Jiang, Ji Fa, Bistable systems of differential equations with time dependent voltage source $E=E(t)$. Appl. Anal. 46 (1992), no. 1-2, 73--90. (Reviewer: Fran?ois Aribaud) 34D05 (34D45 94C05) [45] 94e:34054 Jiang, Ji Fa; Yu, Shu Xiang, A problem on the stability of a positive global attractor. Nonlinear Anal. 20 (1993), no. 4, 381--388. (Reviewer: A. Pelczar) 34D45 (34C05 58F10) [46] 94c:34076 Pan, Zhi Gang; Jiang, Ji Fa, Global asymptotic behavior of generalized Liénard equations. (Chinese) J. Systems Sci. Math. Sci. 12 (1992), no. 4, 376--380. 34D05 (34C15) [47] 94b:34056 Jiang, Ji Fa, Periodic time dependent cooperative systems of differential equations with a first integral. Ann. Differential Equations 8 (1992), no. 4, 429--437. (Reviewer: Janusz Mierczy\'nski) 34C25 (34C35 34D99) [48] 94a:34050 Jiang, Ji Fa, On $3$-dimensional cooperative systems in the box $[p,q]$. J. Math. Res. Exposition 13 (1993), no. 1, 41--45. (Reviewer: Hal Leslie Smith) 34C99 (34C37) [49] 93h:58131 Jiang, Ji Fa, On the existence and uniqueness of connecting orbits for cooperative systems. A Chinese summary appears in Acta Math. Sinica 36 (1993), no. 3, 432. Acta Math. Sinica (N.S.) 8 (1992), no. 2, 184--188. (Reviewer: Romeo F. Thomas) 58F25 [50] 93c:58179 Jiang, Ji Fa, Attractors in strongly monotone flows. J. Math. Anal. Appl. 162 (1991), no. 1, 210--222. (Reviewer: D. N. Cheban) 58F25 (34C35 54H20 58F12) [51] 92g:93080 Jiang, Ji Fa, A Liapunov function for three-dimensional feedback systems. Proc. Amer. Math. Soc. 114 (1992), no. 4, 1009--1013. (Reviewer: Jacques Bélair) 93D15 (34C11) [52] 92e:34061 Jiang, Ji Fa, Strongly monotone flows with positive Lyapunov stability. (Chinese) Acta Math. Sinica 33 (1990), no. 6, 786--790. (Reviewer: Xin-Zhi Liu) 34D05 (34C35 34D20) [53] 92b:58119 Jiang, Ji Fa, A note on a global stability theorem of M. W. Hirsch. Proc. Amer. Math. Soc. 112 (1991), no. 3, 803--806. (Reviewer: P. Mendes) 58F10 (34D05) [54] 91i:58118 Jiang, Ji Fa, On the asymptotic behavior of a class of nonlinear differential equation. Nonlinear Anal. 14 (1990), no. 5, 453--467. 58F25 (34C35 92D25) [55] 91f:58074 Jiang, Ji Fa, On the existence and uniqueness of connecting orbits for two- and three-dimensional cooperative systems. J. Math. Res. Exposition 10 (1990), no. 2, 199--203. (Reviewer: Alan R. Hausrath) 58F21 (34C10 92D25) [56] 91f:34072 Jiang, Ji Fa, The asymptotic behavior of a class of second-order differential equations with applications to electrical circuit equations. J. Math. Anal. Appl. 149 (1990), no. 1, 26--37. (Reviewer: Fran?ois Aribaud) 34E05 (34C11 94C05) [57] 91e:92018 Jiang, Ji Fa, An algebraic criterion for the asymptotic behavior of a class of cooperative systems. (Chinese) J. Systems Sci. Math. Sci. 10 (1990), no. 1, 46--56. 92D25 (34C35 58F40) [58] 90c:58130 Jiang, Ji Fa; Liu, Zeng Rong, Stability of subharmonics in a non-Hamiltonian system. (Chinese) Acta Math. Appl. Sinica 11 (1988), no. 4, 503--508. 58F14 [59] 89b:58153 Jiang, Ji Fa; Liu, Zeng Rong, The subharmonic bifurcations and horseshoes in a non-Hamiltonian system. (Chinese) Acta Math. Appl. Sinica 10 (1987), no. 4, 504--508. 58F14 (58F15) [60] 1 303 406 Jiang, Ji Fa, On the very simple construction of various counterexamples for linear time-dependent systems. Anhui Shida Xuebao Ziran Kexue Ban 16 (1993), no. 1, 1--3. 34D99 (34A30) [61] 1 229 916 Jiang, Ji Fa, Comment: "Type $K$ monotone systems with a first integral" [Math. Appl. 3 (1990), no. 2, 54--58; MR 91i:58117] by S. G. Hu. (Chinese) Math. Appl. 6 (1993), no. 2, 225--227. 58F25 (34C99 92D25)