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中国科学技术大学数学学院导师介绍:李平

中国科学技术大学 免费考研网/2014-03-25

中国科学技术大学数学学院导师介绍:李平
2013-08-09


李平教授
所在系 数学系
研究方向 分析
办公室 1425
办公电话 0551-63607569
电子邮件 pli@ustc.edu.cn
个人主页

  个人简介
  1962年10月生于安徽省广德县,1978年毕业于河南省许昌市第一高中,同年进入中国科学技术大学数学系学习,1983年毕业并留校任教。1985年至1987年在常庚哲教授指导下从事计算几何方面的研究并获硕士学位;1992年赴香港科技大学学习,在杨重骏教授指导下从事亚纯函数值分布理论及唯一性理论方面的研究,
  1996年获理学博士学位并返回中国科学技术大学任教,2001年评为科大数学系教授。主要从事现代分析学的教学和研究。

  工作简历
  1978-1983,就读于中国科技大学数学系,获学士学位,导师:常庚哲教授;
  1983-1985,在中国科技大学数学系任教;
  1985-1987,在中国科技大学数学系研究生班学习,并获硕士学位,导师:常庚哲教授;
  1987-1992,在中国科技大学数学系任教;
  1992-1996,在香港科技大学学习,获博士学位,导师:杨重骏教授;
  1996-1998,在中国科技大学数学系做博士后工作;
  1998-现在,在中国科技大学数学系任教;2001年评为教授。
  
  教学情况
  主讲过的课程:
  泛函分析,泛函分析续,复变函数,高等数学,实变函数,数学分析,数理方程。

  科研情况
  已发表的论文:
  45.Ping Li and Yong Meng,Differential equations related to family A,Bull.Korean Math.Soc.48(2011),No.2,247--260.
  44.Mingbo Yang and Ping Li,Meromorphic Solutions of Certain Functional Equations,Taiwanese Journal of Mathematics,15(2011),No.3,June,1037--1057.
  43.Ping Li,Entire Solutions of Certain Type of Differential Equations II,J.Math.Anal.Appl.375(2011),310--319.
  42.Weigang Wu and Ping Li,Discussion on A Class of Uniqueness Polynomials of Meromorphic Functions,J.Univ.Sci.Tech.China,39(2009),no.3,247--253.
  41.Ping Li and Chung-Chun Yang,Meromorphic functions that share some pairs of small functions,Kodai Math.J.Vol.32,No.1,March 2009,130--145.
  40.Ping Li and Xianyang zhang,Meromorphic solutions of a kind of functional equations of Diophantine type,Annales Polonici Mathematici,94(2008),no.3,265--273.
  39.Ping Li and Chung-Chun Yang,Admissible solutions of functional equations of Diophantine type,Some Topics on Value Distribution and Differentiability in Complex and P-adic Analysis'',250--264,Science Press,Beijing,2008.
  38.Ping Li,Entire Solutions of Certain Type of Differential Equations,J.Math.Anal.Appl.344(2008),253--259.
  37.Mingbo Yang and Ping Li,Meromorphic Solutions of Functional Equation P(f)P(g)=1,KODAI MATH.J.31(2008),54--67.
  36.Yong Meng and Ping Li,Functional Equations Related to Family A,
  Complex Variables and Elliptic Equations,Vol.52,Issue 7 July 2007,589--602.
  35.Ping Li and Wenjie Wang,Entire Function That Share A Small Function with Its Derivative,J.Math.Anal.Appl.328(2007),issue 1,743--751.
  34.Ping Li and Chung-Chun Yang,Meromorphic Solutions of Functional Equations with Nonconstant Coefficients,Proc.Japan Academy,Vol.82,Ser.A,No.10(2006),183--186.
  33.Chung-Chun Yang and Ping Li,Decompositions of Meromorphic Functions Over Small Functions Fields,COMPLEX ANALYSIS AND POTENTIAL THEORY,Proceedings of the Conference Satellite to ICM 2006,Gebze Institude of Technology,Turkey,17--32.
  32.Weihong Yao and Ping Li,Meromorphic Function Sharing Two Small Functions With Its Derivative,J.Math.Anal.Appl.322(2006),133--145.
  31.Ping Li and C.C.Yang,On the Non-existence of Entire Solution of Certain Type of Nonlinear Differential Equations,J.Math.Anal.Appl.320(2006),827--835.
  30.Ping Li,Entire functions that share two values,Kodai Math.J.28(2005),No.3,551--558.
  29.Ping Li,Value Sharing and Differential Equations,J.Math.Anal.Appl.310(2005),412--423.
  28.C.C.Yang and Ping Li,Further Results on Meromorphic Functions That Share Two Values with Their Derivatives,Journal of the Australian Mathematical Society,78(2005),91--102.
  27.Wenjie Wang and Ping Li,Unicity of Entire Functions and Their Linear Differential Polynomials,Complex Variables,49(2004),no.11,821--832.
  26 Ping Li and Yi Zhang,Meromorphic Functions Whose Derivatives Share Small Functions,Kodai Math.J.,(3) 27(2004),189--200.
  25.C.C.Yang and Ping Li,Some further results on the functional equation P(f)=Q(g),``Value Distribution Theory and Related Topics'',Book series: Advanced in Complex Analysis and Its Applications 3,Kluwer Academic Publishers,Dordrecht,2004.
  24.C.C.Yang and Ping Li,On the transcendental solutions of a certain type of nonlinear differential equations,Archiv der Mathematik,82(2004),442--448.
  23.Xiao-ling Wang and Ping Li,On the Fatou Components of Two Permutable Transcendental Entire Functions,J.Univ.Sci.& Tech.of China,Vol.33,No.6,Dec.2003.
  22.Ping Li,Unicity of meromorphic functions in a certain family,Complex Variables,Vol.48,No.12,pp.1041--1054,2003
  21.Ping Li,Unicity of Meromorphic Functions and Their Derivatives,J.of Math.Anal.and Appl.285(2003),651--665.
  20.Yuan-Sheng Bao,Xiao-ling Wang and Ping Li,The boundaries of the Fatou components and Jordan Curves,(Chinese),J.Univ.Sci.& Tech.of China,Vol.32,No.4,Aug.2002.
  19.Ping Li,Meromorphic functions that share four small functions,J.of Math.Anal.and Appl.,263(2001),316--326.
  18.Ping Li and C.C.Yang,Uniqueness theorems on entire functions and their derivatives,J.of Math.Anal.and Appl.,253(2001),50--57.
  17.Ping Li and C.C.Yang,When an entire function and its linear differential polynomial share two values,Illinois Journal of Math.,44,no.2 (2000),349-362.
  16.Ping Li,Meromorphic functions sharing three values IM with its linear differential polynomial,Complex Variables,Vol.41,2000,pp.221--229.
  15.Ping Li,Entire functions that share one value with their linear differential polynomials,Kodai Math.J.,22(1999),446--457.
  14.Ping Li,Value sharing on entire functions and their linear differential polynomials,J.of China University of Science and Technology,29(1999) (4),387--393.
  13.Ping Li and C.C.Yang,When two functions share four values and a set,Southeast Asian Bulletin of Math.,23(1999),pp.51--60.
  12.Ping Li and C.C.Yang,Value sharing of an entire function and its derivatives,J.of Mathematical Society of Japan,51(1999) (4),781--799.
  11.Ping Li,Meromorphic functions sharing three values or sets CM,Kodai Math.J.,21(1998),No.2,138--152.
  10.Ping Li and C.C.Yang,On the characteristic of meromorphic functions that share three values CM,J.of Math.Anal.and Appl.,220(1998),132--145.
  9.Ping Li and C.C.Yang,On the value distribution of a certain type of differential polynomials,Monatshefte F\"ur Mathematik,125(1998),15--24.
  8.Ping Li,Uniqueness and value sharing of meromorphic functions,BHKMS,1(1997),173--177.
  7.Ping Li and C.C.Yang,On two meromorphic functions that share pairs of small functions,Complex Variables,32(1997),177--190.
  6.Ping Li and C.C.Yang,On the unique range set of meromorphic functions,Proc.Amer.Math.Soc.,124(1996),No.1,177--185.
  5.Ping Li and C.C.Yang,Some further results on the unique range sets of meromorphic functions,Kodai Math.J.18(1995),437--450.
  4.Ping Li and Y.Y.Feng,Criteria for copositive matrces of order four,Linear Algebra and its Application,194(1993),109--124.
  3.Ping Li,Asymptotic expansion for Bernstein polynomials defined on a simplex and the higher difference about degree,J.of China University of Science and Technology,22(1992),no.1,1--11.
  2.Ping Li,Iterates of Bernstein polynomials over triangles,J.of China University of Science and Technology,17(1987),suppl.19--25.
  1.Ping Li,The order of approximation by generalized Bernstein-Bezier polynomial,J.of China University of Science and Technology,15(1985),no.1,15--18.
  已完成的论文:
  1.Ping Li and Chung-Chun Yang,Entire Solutions of ''(z)=p(z)sin^2z
  2.Ping Li,Value Distribution of Certain Meromorphic Function,
  已出版的专著:
  1.(with Pei-chu Hu and C.C.Yang) Unicity of Meromorphic Mappings,Kluwer Academic Publishers,Dordrecht,2003.
  2.LaTeX2e 及常用宏包使用指南,清华大学出版社,北京,2004.

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