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刘凯简介

作者:    来源:     点击数:       时间:2018-01-14     【打印文章】


1. 基本情况

2010年南昌大学理学院数学系参加工作,副教授,硕士生导师, 山东大学理学博士和芬兰约恩苏大学理学博士

2. 学习和工作经历:

2004.92009.12, 数学学院, 山东大学, 导师:杨连中

2008.102009.6, 数学与物理系, 芬兰约恩苏大学,导师:Ilpo. Laine

20101月至今,理学院数学系, 南昌大学

201491-2015827日,国家留学基金委公派访问学者-东芬兰大学,合作者:Risto.Korhonen Ilpo.Laine Janne.Heittokangas

3. 教学经历

担任过《数学分析1-4》《复差分理论》《复变函数》《复变函数与积分变换》《高等工程数学》等课程的教学工作,主持江西省教育厅教改项目1项,南昌大学教改项目1项,参与国家级Mooc课程《高等数学》建设,参与江西省精品资源共享课程《数学分析》课程建设,其中《数学分析》课程获得授课质量优秀奖1次,提名奖2次。

4. 科研项目和论文

研究方向是复分析、热带亚纯函数、P-adic分析,擅长在复差分和复微分差分领域的值分布和复微分差分方程领域的研究工作2017年获得江西省杰出青年人才项目资助,南昌大学赣江青年学者,主持国家自然科学基金3项,主持江西省自然科学基金3项,主持江西省教育厅基金2项,第一作者发表SCI论文20余篇。

(1)已结题项目

2014-2016  “复微分差分多项式的值分布与复微分差分方程的研究”国家自然科学基金青年基金项目(No 11301260)主持

2011-2012 复差分多项式的值分布”国家自然科学基金天元基金

(No 11026110) 主持

2011-2013    分担值与复差分多项式理论”江西自然科学青年基金项目

(No 2010GQS0144) 主持

2011-2012  亚纯函数的差分值分布理论研究江西教育厅青年基金项目

(No GJJ11043) 主持

2012-2014    亚纯映射唯一性问题、单位圆内复振荡与函数空间 国家自然科学基金青年基金,(No 11101201)参与

(2) 在研项目

2017-2020 “涉及复微分差分和tropical的值分布与函数方程研究国家自然科学基金青年基金 (No 11661052) 主持

2017-2020 “江西杰出青年人才资助计划,(20171BCB23003),项目负责人.

2013-2015 “复微分差分方程的解析性质” 江西教育厅一般基金项目

(No GJJ13078) 主持

2012-2015 复微分差分领域若干问题的研究”江西自然科学青年基金

No 20132BAB211003)主持

(3) 发表学术论文

1.      Liu Kai and Yang Lianzhong, On the complex oscillation of higher order linear differential equations. Bull. Korean Math. Soc. 46 (2009), 607615. (SCI)

2.      Liu Kai and Yang Lianzhong, Value distribution of the difference operator, Arch. Math, 92 (2009), 270278. (SCI)

3.      Liu Kai, Meromorphic functions sharing a set with applications to difference equations. J. Math. Anal. Appl. 359 (2009), 384393. (SCI)

4.      Liu Kai and Laine IlpoA note on value distributions of difference polynomials, Bull. Aust. Math. Soc. 81 (2010), 353–360. (SCI)

5.      Liu Kai, Zeros of difference polynomials of meromorphic functions, Results. Math. 57 (2010), 365–376. (SCI)

6.      Liu Kai, Yang Lianzhong and Liu Xinling, Existence of entire solutions of nonlinear difference equations, Czech. Math. J. 61 (2011), 565–576. (SCI)

7.      Liu Kai and Qi Xiaoguang, Meromorphic solutions of q-shift difference equations, Ann. Polon. Math. 101 (2011), 215–225. (SCI)

8.      Liu Kai, Liu Xinling, and Cao Tingbin, Uniqueness and zeros of q-shift difference polynomials, Proc. Indian Acad. Sci (Math.Sci). 121(2011), 301–310. (SCI)

9.      Liu Kai, Value distribution of difference of meromorphic functions, Rocky Mountain J. Math. 5 (2011), 1567–1584. (SCI)

10.  Liu Kai, Liu Xinling and Cao Tingbin, Value distributions and uniqueness of difference polynomials, Advances in Difference Equations. (2011), Article ID 234215, pp.12. (SCI)

11.  Liu Kai, Liu Xinling and Cao Tingbin, Some results on zeros and uniqueness of difference-differential polynomials, Appl. Math. J. Chinese Univ. 27(2012), 94–104. (SCI)

12.  Liu Kai, Cao Hongzhe and Cao Tingbin, Entire solutions of Fermat type differential difference equations, Arch. Math. 99 (2012), 147–155. (SCI)

13.  Liu Kai, Cao Tingbin and Liu Xinling, Some difference results on Hayman conjecture and uniqueness, Bull. Iranian. Math. Soc.38 (4) (2012), 1007–1020. (SCI)

14.  Liu Kai and Cao Tingbin, Entire solutions of Fermat type difference differential equations, Electron. J. Diff. Equ. 2013 (2013), 1–10. (SCI)

15.  Liu Kai, Liu Xinling and Yang Lianzhong, The zero distribution and uniqueness of difference-differential polynomials, Ann. Polon. Math. 109 (2013), 137–152. (SCI)

16.  Liu Kai and Yang Lianzhong, On entire solutions of some differential-difference equations, Comput. Methods Funct. Theory. 13 (2013), 433–447. (SCI)

17.  Liu Kai and Dong Xianjing, Some results related to complex differential difference equations of certain types, Bull. Korean Math. Soc. 51 (2014), No. 5, pp. 1453—1467.(SCI)

18.  Liu Kai and Dong Xianjing, Fermat type differential and difference equations, Electronic Journal of Differential Equations, Vol. 2015 (2015), No. 159, pp. 1--10.

19.  Liu Kai, Exponential polynomials as solutions of differential-difference equations of certain types,Mediterr. J. Math. 13 (2016), 3015–3027 (SCI)

20.  Liu Kai, Cao Tingbin, Values sharing results on q-difference and derivative of meromorphic functions, Hacettepe Journal of Mathematics and Statistics 45 (6) (2016), 1719--1728. (SCI)

21.  Laine. Ilpo, Liu Kai, Kazuya Tohge, Tropical variants of some complex analysis results, Annales Academiæ Scientiarum Fennicæ Mathematica 41,(2016), 923–946.(SCI)

22.  Liu Kai and Tu Jin, A note on a difference analogue of the Valiron-Mohon’ko theorem, Analysis Math., 43 (3) (2017), 489–500.(SCI)

23.  Liu Kai and Song Changjiang, Meromorphic solutions of complex differential difference equations, Results. Math, 72(4), (2017), 1759-1771.(SCI)

24.  Liu Kai, Cao Tingbin and Liu Xinling, The Properties of Differential-Difference Polynomials, Ukrainian Mathematical Journal 69 (1) (2017), 85-100(SCI)

25.  Dong Xianjing and Liu Kai, Some results on differential-difference analogues of Bruck conjecture, Math. Slovaca , 67 (3) (2017), 691-700.(SCI)

5.培养人才情况

2010年始,指导本科生毕业论文19人、研究生6人、10人本科生科研训练

 


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