数学学科研究生必读经典文献目录 经 典 文 章 [1] P. You, Characteristic conditions for c_0-semigroups with continuity in the uniform operator topology for t>0, Proc. Amer. Math. Sos. 116(1992), 991-997. [2] V. Goersmeyer and L. Weis, Norm continuity of c_0-semigroups, Studia Mathematica, 134(1999), 169-178. [3] J. Garcia-Falset, Existence results and asymptotic behavior for nonlocal abstract Cauchy problems, J. Math. Anal. Appl. 338(2008), 639-652. [4] A. Batkai, S. Piazzera, A semigroup method for delay equation with relatively bounded operators in the delay term, Semigroup Forum, 64(2002), 71-89. [5] A. Batkai, S. Piazzera, Semigroups and linear partial differential equations with delay, J.Math.Anal.Appl. 264(2001), 1-20. [6] H. Sano, Exponential stability of a mono-tubular heat exchanger equation with output feedback, Systems & Control Letters, 50(2003), 363-369. [7] M.D. Blake, A spectral bound for asymptotically norm-continuous semigroups, J. Operator Theory, 45(2001), 111-130. [8] W. Arendt, Resolvent positive operators, Proc. London Math. Soc. 54(1987), 321-349. [9] M. Hamada and N. Balakrishnan, Aanlying Unreplicated Factorial Experiments: A Review With Some New Proposals, Statistica Sinaca, 1998, 8, 1-41. [10] A. P. Verbyla, Modelling Variance Heterogeneity: Residual Maximum Likelihood and Diagnostics, Journal of the Royal Statistical Society. Series B, 1993, 55(2), 493-508. [11] Richard N. Mcgrath, Dennis K. J. Lin, Testing Multiple Dispersion Effects in Unreplicated Fractional Factorial Designs. Technometrics, 2001, 43(3), 404-414. [12] Guohua Pan, The Ippact of Unidentified Location Effects on Dispersion-Effects Identification from Unreplicated Fractional Factorial Designs, Technometrics, 1999, 41(4), 313-326. [13] Daniel T. Voss, Analysis of Orthogonal Saturated Designs, Journal of Statistical Planning and Inference, 1999, 78, 111-130. [14] Daniel T. Voss and Weizhen Wang, Simultaneous Confidence Intervals in the Analysis of Orthogonal Saturated Designs, Journal of Statistical Planning ang Inference, 1999, 81, 383-392. [15] Perry D. Haaland and Michael A. O’Connell, Inference for Effect-Saturated Fractional Factorial, Technomrtrics, 1995, 37(1), 82-93. [16] J. C. Wang and C. F. J. Wu, Nearly Orthogonal Arrays with Mixed Levels and Small Runs, Technomrtrics, 1992, 34(4), 409-422. [17] Allan Birnbaum, On the Analysis of Factorial Experiments Without Replication, Technomrtrics, 1959, 1(4), 343-359. [18] Cuthbert Daniel, Use of Half-Normal Plots in Interpreting Factorial Two-Level [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] [37] [38] [39] Experimemts, Technomrtrics, 1959, 1(4), 311-341. H. Evangelaras, C. Koukouvinos, and S. Stylianou, Evaluation of Some Non-Orthogonal Saturated Designs with Two Levels, Statistics & Probablity Letters, 2005, 74, 322-329. Dawn M. VanLeeuwen, Justus F. Seely and David S. Birkes, Sufficient Conditions for Orthogonal Designs in Mixed Linear Models, Journal of Statistical Planning ang Inference, 1998, 73, 373-389. 王晓谦,程士宏,Hill-估计量的二阶 Edgeworth 展示,南京师大学报(自 然科学版),2004,27(3),1-8. 万成高,两两 NQD 列的大数定律和完全收敛性,应用数学学报,2005, 28(2),253-261. Chun Su and Qi-he Tang, Characterizations on Heavy-tailed Distributions by Means of Hazard Rate, Acta Mathematicae Applicatae Sinaca, English Series, 2003, 19(1), 135-142. 陈冬,程维虎,利用样本分位数的 Logistic 总体分布参数的近似最佳线性 无偏估计,应用数学学报,2005,28(2),326-332. Kai Lai Chung, An Unsolved Problem by Feller, Journal of Mathematical Research and Exposition, 2005, 25(3), 463-464. Michael Greiner, Manfred Jobmann and Claudia Kluppelberg, Telecommunication Traffic, Queueing Models, and Subexponential Distributions, Queueing Systems, 1999, 33, 125-152. A.R.Barghi, M.M.Ahmedy, On automorphisms of a class of special p-groups, Arch. Math. (Bael) , 77(2001), no. 4, 289-293. B.Beisiegel, Finite p-groups with nontrivial p’-automorphsims, Arch. Math. (Basel), 31(1978/79), no. 3, 209-216. A.Caranti, C.M.Scoppola, A remark on the orders of p-groups that are automorphism groups, Boll. Un. Mat. Ital. A(7) 4(1990), no. 2, 201-207 M.J.Curran, Automorphisms of certain p-groups (p odd), Bull. Austral. Math. Soc. 38(1988), no. 2, 299-305. M.J.Curran, A note on p-groups that are automorphism groups, Rend. Circ. Mat. Palermo (2) Suppl. (1990), no. 23, 57-61. B.Eick, C.R.Leedham-Green, E.A.O’Brien, Constructing automorphism groups of p-groups, Comm. Alg. 30(2002), no. 5, 2271-2295. A.R.Jamali, Some new non-abelian 2-groups with abelian automorphism groups, J. Group Theory, 5(2002), no. 1, 53-57. A.Mann, Some questions about p-groups, J. Austral. Math. Soc. Ser. A, 67(1999), no. 3, 356-379. B.Wolf, A note on p’-automorphism of p-groups P of maximal class centralizing the center of P, J. Algebra, 190(1997), no. 1, 163-171. L.Verardi, A class of special p-groups, Arch. Math. (Basel), 68(1997), no. 1, 7-16. H. Amann, On the number of solutions of nonlinear equations in ordered Banach spaces, J. Funct. Anal. 11(1972)346-384. H. Amann, Fixed point equations and nonlinear eigenvalue problems in ordered [40] [41] [42] [43] [44] [45] [46] [47] [48] [49] [50] [51] [52] [53] [54] [55] [56] [57] [58] [59] Banach spaces, SIAM Review 18(1976)520-709. A. Ambreosetti, P.H. Rabinowitz, Dual variational method in critical point theory and applications, J. Funct. Anal. 14(1973)349-381. Thomas Bartsch, Critical point theory on partially ordered Hilbert spaces, J. Functional Anal. 186(2001)117-152. H.Hofer, Variational and topological methods in partially ordered Hilbert spaces, Math. Ann. 216(1982)493-514. Shujie Li, Zhiqiang Wang, Ljusternik-Schnirelman theory in partially ordered Hilbert spaces, Trans. Amer. Math. Soc. 354(2002)3207-3227. Zhaoli Liu, Jingxian Sun, Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations, J. Differential Equations 172(2001)257-299. M. Schechter, W. Zou, Double linking theorem and multiple solutions, J. Functional Anal. 205(2003)37-61. A. Friedman and B. Mcleod, Blow-up of positive solutions of semilinear heat equations. Indiana Univ. Math. J. 34, 25-447, 1985. H.A. Levine, The role of critical exponents in blow-up theorems. SIAM Review, 32, 262-288, 1990. K. Dend and H.A. Levine, The role of critical exponents in blow-up theorems: the sequel. J. Math. Anal. Appl. J. 234(2), 85-126, 2000. V.A. Galaktionov and J.L. Vazquez, The problem of blow-up in nonlinear parabolic equations. Discrete Cont. Dyn. Sys. 8, 399-433, 2002. W. Walter, On existence and nonexistence in the large of solutions of parabolic differential equation with a nonliear boundary condition. SIAM J. Math. Anal. 6, 85-90,1975. L.E. Payne and P.W. Schaefer, Lower bounds for blow-up time in parabolic problems under Dirichlet conditions. J. Math. Anal. Appl. 328, 1196-1205, 2007. G. Acosta and J.D. Rossi, Blow-up vs. global exisyence for quasilinear parabolic systems with a nonlinear boundary conditions. Z. angew. Math. Phys. 48, 711-724, 1997. C. V. Pao, Quasilinear parabolic and elliptic equations with nonlinear boundary conditions. Nonlinear Anal. 66, 639-662, 2007. Grove E A, Kulenovic M R S, Ladas G. Sufficient Conditions for Oscillation and Nonoscillation of Neutral Equations[J]. J Diff Eqns, 1987, 68: 373-382. Ladas G, Qian C. Oscillation in Differential Equations with Positive and Negative Coefficients[J]. Canad Math Bull, 1990, 33: 442-451. Lin Xiaoyan. Oscillation of second-order nonlinear neutral differential equations[J]. J Math Anal Appl, 2005, 309: 442-452. Leighton V. Some elementary Sturm theory[J]. Journal of Differential Equations, 1968, 4: 187--193. Travis C C. Oscillation theorems for second order differential equations with functional arguments[J]. Proc Amer Math Soc, 1972, 31: 199--202. Chung-Fen Lee, Cheh-Chih Yeh, An oscillation theorem[J]. Applied Mathematics Letters, [60] [61] [62] [63] [64] [65] [66] [67] [68] [69] [70] [71] [72] [73] [74] [75] [76] [77] [78] [79] 2007, 20: 238--240. A. Triyaki, B. Ayanlar, Oscillation Theorems for certain nonlinear differential equations of second order[J], Computers and Mathematics with Applications, 2004, 47: 149--159. A. Tiryaki, Y. Basci, I. Gulec, Interval criteria for oscillation of second-order functional differential equations[J], Computers and Mathematics with Applications, 2005, 50: 1487--1498. Agarwal R P, Grace S R. Oscillation of higher-order difference equations[J]. Applied Mathematics Letters, 2000, 13: 81-88. Erbe L H, Hilger S. Sturmian theory on measure chains[J]. Differential Equations Dynamical Systems, 1993, 1: 223--246. Erbe L H, Peterson A. Green functions and comparison theorems for differential equations on measure chains[J]. Dynamics of Continuous, Discrete and Impulsive Systems, 1999, 6: 121--137. Merdivenci Atici F, Sh Guseinov G. On Green's functions and positive solutions for boundary value problems on time scales[J]. J Comput Appl Math, 2002, 141: 75--99. Avery R I, Douglas R. Existence of three positive solutions to a second order boundary value problem on a measure chain[J]. J Comput Appl Math, 2002, 122: 65—73 Agarwal R P, O'Regan D. Triple solutions to boundary value problem on time scales[J]. Appl Math Letters, 2003, 13: 7--11.. Ahlbrandt C D. Eigenvalue intervals for a two point boundary value problem on a measure chain[J]. J Comput Appl Math, 2002, 141: 57--64. Atici F M, Eloe P W, Kaymakalan B. The quasilinearization method for boundary value problems on time scales[J]. J Math Anal Appl, 2002, 276: 357--372. Douglas R. Anderson, Richard I Avery. An even-order three-point boundary value problem on time scales[J]. J Math Anal Appl, 2004, 291: 514--525. Henderson J, Yin W K C. Existence of Solutions for Third-Order Boundary Value Problems on a Time Scale[J]. Computers and Mathematics with Applications, 2003, 45: 1101--1111. Amster P, Rogers C, Tisdell C C. Existence of solutions to boundary value problems for dynamic systems on time scales[J]. J Math Anal Appl, 2005, 308: 565--577. Benchohra M, Ntouyas S K, Ouahaba A. Existence results for second order boundary value problem of impulsive dynamic equations on time scales[J]. J Math Anal Appl, 2004, 296: 65--73. Jeffrey J DaCunha, John M Davis, Parmjeet K Singh. Existence results for singular three point boundary value problems on time scales[J]. J Math Anal Appl, 2004, 295: 378--391. Sung Kyu Choi, Nam Jip Koo, Dong Man Im. h-Stability for linear dynamic equations on time scales[J]. J Math Anal Appl, 2006, 324: 707--720. V. Lakshmikantham, A.S. Vatsala. Hybrid systems on time scales[J]. Journal of Computational and Applied Mathematics, 2002, 141: 227--235. K. Gopalsamy, P. Weng. Feedback regulation of Logistic growth[J]. J. Math. Sci., 1993, 1:177-192. J.Y.Park, Y.C.Kwun, J.M.Jeong. Existence of periodic solutions for delay evolution integrodifferential equations[J]. Math. Comput. Model., 2004, 40:597-603. F. Hartung, Linearized stability in periodic functional differential equations with state-dependent delays[J]. J. Comput. Appl. Math., 2005, 174:201-211. [80] H. Huang, D. W. C. Ho, J. Cao. Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays[J]. Neural Networks, 2005, 18:161-170. [81] S. Lu, W. Ge. On the existence of periodic solutions for neutral functional differential equation[J]. Nonlinear Anal. 2003, 54:1285-1306. [82] Kaplan J., J. Yorke. Ordinary differential equations which yield periodic solutions of differential delay equations[J]. J. Math. Anal. Appl., 1974, 48:317-325. [83] M. Wazewska-Czyzewska, A. Lasota. Mathematical problems of the dynamics of red blood cell system[J]. Ann.Polish Math. Soc. Ser. III Appl. Math., 1976, 6:23-40. [84] S.H. Saker. Oscillation and global attractivity in hematopoiesis model with delay time[J]. Appl. Math. Comput., 2003, {\bf 136:}241-250. 王世英, 原军, 林上为. DNA 标号图和 DNA 计算. 中国科学, A 辑:数学, 2007, 37(9): 1059-1072 [86] 王世英. DNA 计算的研究进展. 生物数学学报, 2007, 22(5):961-968. [87] 王世英. 无退化的 DNA 序列的 2 维图表示. 生物数学学报, 2005, 20(5): 633-640. [88] Shiying Wang(王世英), Jun Yuan, DNA Computing of Directed Line-Graphs, Match-Communications in Mathematical and in Computer Chemistry 56(3) (2006) 479-484. [89] Shiying Wang( 王世英 ), Aiming Yang, DNA Solution of Integer Linear Programming, Applied Mathematics and Computation, 2005, 17: 626-632. [90] Shiying Wang( 王 世 英 ), Shangwei Lin, The maximal restricted edge connectivity of Kautz undirected graphs, Electronic Notes in Discrete Mathematics, 2005, 22: 49-53. [91] 王 世 英 , 唐 国 春 , 杨 爱 民 . 单 纯 形 法 解 装 卸 工 问 题 . 运 筹 学 学 报 , 2005,9(3):65-70 . [92] Shiying Wang(王世英)and Jianxiu Hao, The extreme set condition of a graph, Discrete Mathematics, 2003, 260: 151-161. [93] Shiying Wang(王世英), DNA computing of Bipartite Graphs for Maximum Matching, Journal of Mathematical Chemistry, 2002, 31( 3): 271-279. [94] Shiying Wang(王世英), Zhixiang Yin, Extreme matroid graph, 东北数学, 2003,19(1): 19-25. [95] J Bang-Jensen. On the structure of locally semicomplete digraphs. Discrete Math. 1992.100:243-265. [96] Tianxing Yao,Yubao Guo,Kemin Zhang. Pancyclic out-arcs of a vertex in tournaments. Discrete Applied Mathematics.2000.99:245-249. [97] Koh.K.M, Tan.B.P. The number of Kings in a Multipartite tournaments. Discrete Math.1997.167/168:411-418. [98] Peter Dankelmann. The diameter of directed graphs. Journal of Combinatorial Theory Series B 94(2005)183-186. [99] Peter Dankelmann,ortrud R.Oellermann, Jian-Liang Wu. Minimum average distance of strong orientations of Graphs. Discrete Applied Mathematicas 143(2004)204-212. [100] J Bang-Jensen, The structure of strong arc-locally Semicomplete digraphs. Discrete Mathe 238(1-3)1-6. [85] [101] 张忠辅,陈祥思,李敬文等. 关于图的邻点可区别全染色(J) 中国科学,A 辑, 2004,34(5):574-583. [102] Gutin G.M,Yeo.A. Kings in Semicomplete multipartite tournaments . J. Graph Theory. 2000.11:177-183. 经 典 著 作 1. A. Pazy, Semigroups of linear operators and applications to partial differential equations, Springer, New York, 1983. 2. K.J. Engel, R. Nagel, One-parameter semigroups for linear evolution equation, Grad. Tests in Math., Vol. 194, Springer, New York, 2000. 3. Yuan Shih Chow, 高等概率论, Springer-Verlag New York Heidelberg Berlin, 1978. 4. 茆诗松,王静龙,濮晓龙,高等数理统计, 高等教育出版社,施普林格出版 社,2004 5. C. F. Jeff Wu Michael Hamada 著,张润楚,郑海涛,兰燕,艾明要,林怡, 杨贵军译,试验设计与分析及参数优化, 中国统计出版社. 6. George E.P. box[美], Gwilym M.Jenkins[英], Gregory C.Reinsel[美]著, 顾岚 (主译 ), 范金城 (校译 ), 时间序列分析预测 与控制 (Time Series Analysis Forecasting and Control), 中国统计出版社. 7. 何书元著,应用时间序列分析,北京大学出版社. 8. 徐明耀等著,有限群导引(上、下册),科学出版社,1999 9. H. Kurzweil, B.Stellmacher, The Theory of Finite Groups, Springer-Verlag New York, 2004 10. D.J.S.Robinson, A Course in the Theory of Groups, Springer-Verlag New York, 1982 11. I.M.Isaacs, Character Theory of Finite Groups, New York Academic Press, 1976 12. 郭大钧,非线性泛函分析(第二版),济南:山东科学技术出版社,2001. 13. K.C. Chang, Infinite Dimensional Morse Theory and Multiple Solution Problems, Birkhäuser, Boston, 1993. 14. Bela Ballobás 著. Modern Graph Theory. Springer 2001 15. Richard A.Brualdi 著(Third Edition)冯舜玺, 罗平, 裴伟东译. 卢开澄, 冯 舜玺校. 组合数学 Introductory Combintorics 机械工业出版社. 2001. 11 16. M.H. Protter and H.F. Weinberger, Maximum Principles in Differential Equations. Prentice-Hall, Englewood Cliffs, New Jersey, 1976. 17. C. Evans, Partial Differential Equations. Americal Mathematical Society, Providence, Rhode Island,1999. 18. Jack Hale. Theory of Functional Differential Equations[M]. New York: Spinger-Verlag, 1977 19. Philip Hartman, Ordinary Differential Equations[M], Boston: Birkhauser, 1982. 20. 张芷芬, 丁同仁, 黄文灶,董镇喜, 微分方程定性理论[M], 北京: 科学出版 社, 1985.