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数学系研究生导师吕刚简介
2017-11-10 09:10  

吕刚,1976年8月生。沈阳工业大学, 理学院数学系,副教授。

学习与工作简历:

1997年9月~2001年7月 就读于延边大学数学教育专业,获得学士学位;

2001年7月~2006年3月 本科毕业留校任教,延边大学理学院数学系助教;

2006年3月~2011年8月 获韩国国家奖学金项目资助赴韩硕博连读,获数学博士学位; 韩国国立忠南大学数学系研究员。

2011年10月~至今 沈阳工业大学理学院数学系;讲师,副教授。


学术研究经历:

2001年~2006年 在延边大学数学系任教期间主要从事泛函空间理论中的对偶理论研究。

2006年3月~2011年8月硕博连读期间主要从事函数方程与函数不等式稳定性的研究和微分动力系统等价理论研究;

2014年6月~2016年11月,浙江大学博士后进站,主要研究量子信息与量子计算的数学基础。


参与和主持的项目:

参与的科研项目:

1. 国家自然科学基金项目“对偶系统的研究”(10361005)

2.Qualitative Theory of Dynamical Systems with Various Shadowing and its Application (动力系统等价理论在各种Shadowing下的研究和它

的应用)

  Project NO : KRF-2005-070-C00015

  Period: 1/Sep/2005 - 31/Aug/2008 supported by KRF

3.Hyperbolic Structure of Homoclinic Classes in Differentiable Dynamical Systems(在微分动力系统下的Homoclinic Classes的双曲结构)

  Project NO : KRF-2008-313-C00081

  Period : 1/Nov/2008 - 31/Oct/2011 supported by KRF

4.Brain Korea 21 Math Vision 2013 Project(BRAIN KOREA21世纪数学展望2013计划(韩国教育部资助项目))

Period: 1/Mar/2006 - 28/Feb/2013 supported by  Ministry of Education, Korea


主持的科研项目:

1、“辽宁省博士科研启动基金”项目(No.2012-1055)。

(函数方程与函数不等式的稳定性研究中的若干问题的研究),辽宁省科技厅, 2012.7-2014.6。

2、国家归国留学基金(2014.3-2016.2)

函数方程与函数不等式的稳定性研究中的若干问题

3、辽宁省自然基金,辽宁省自然科学基金,“基于shadowing理论的Cauchy算子方程的稳定性问题研究”。

目前所研究的问题:泛函分析及其应用,量子计算与量子信息理论;量子计算应用;函数方程稳定性分析

发表的论文

2012年以前

1.Gang Lu and Choonkil Park, Hyers–Ulam stability of additive set-valued functional equations, (Applied Mathematics Letters,

V.24I.8 Aug. 1312-1316, 2011.)  

2.Manseob Lee and Gang Lu, Limit weak shadowable transitive sets of C1-generic diffeomorphisms (Commun. Korean Math. Soc. 27, No.

3, pp. 613–619,2012).

3. Manseob Lee and Gang Lu ,Diffeomorphisms With Robustly Average Shadowing( Chungcheong Math. Soc., V. 24,No. 4, Dece. 631-

638,2011.)

4.Manseob Lee and Gang Lu, On robustly positively expansive maps (J. Chungcheong Math. Soc., V. 24, No.1, Mar. 9-64, 2011.)


2013年

5.Gang Lu, Keonhee Lee and Manseob Lee, Generic diffeomorphisms with weak limit Shadowing (Advances in Difference

Equations,Vol.27,4 February 2013 )

6.Gang Lu and Choonkil Park, Additive functional inequalities in Banach spaces(Journal of Inequalities and Applications ,

doi:10.1186/1029-242X-2012-294 )

7.Gang Lu, Yingxiu Jiang, and Choonkil Park,  Additive Function Equation in Fréchet Spaces(Journal of Computational Analysis and Applications, VOL. 15, NO. 2, 2013, P268-373)  

8.Lexin  Li,  Gang  Lu, Choonkil Park, and Dong Yun Shin,Additive  Functional  Inequalities  in  Generalized  Quasi-Banach  Spaces (Journal of Computational Analysis and Applications, VOL. 15, NO. 6, 2013,P1165-1175)


2014年

9.Gang  Lu  Choonkil Park and Dong Yun Shin, Functional  Inequalities Associated With  Bi-Cauchy  Additive  Functional  Equations

(Journal of Computational Analysis and Applications, VOL. 16, NO. 4, 2014,P85-92)

10.Gang Lu, and Choonkil Park,Functional Inequalities in β - Homogeneous F-Spaces(Journal of Computational Analysis and

Applications, VOL.17, NO.2, 2014,P280-286)

11.Gang Lu and Choonkil Park, Hyers–Ulam Stability of General Jensen-Type Mappings in Banach Algebras (Results in Mathematics

Vol.66, 2014 ,P385-404)

12.Choonkil Park Gang Lu and Dong Yun Shin, A Generalized Additive Functional  Inequality  in Banach Spaces, (Journal of

Computational Analysis and Applications, VOL. 16, NO. 4, 2014,P654-660)

13.Choonkil Park, Gang Lu, and Dong Yun Shin,On the Stability of States in Effect Algebras(Journal of Computational Analysis and

Applications, VOL.17, NO. 1, 2014,P166-171)

14.Choonkil  Park,  Gang  Lu,  Ruijun Zhang, and Dong Yun Shin,Hyers-Ulam  Stability  of  General  Jensen  Type  Mappings

(Journal of Computational Analysis and Applications, VOL.17, NO.,4, 2014,P667-673)


2015年

15.Gang Lu,George A. Anastassiou, Choonkil Park And Yuanfeng Jin, Functional Inequalities Associated With Inner Product Preserving

Mappings,Journal of Computational Analysis and Applications, Vol.18.No.6, 964-972 ,2015.

2016年

16. Gang Lu, Yanduo Wang and Pengyu Ye, n-Jordan *-derivations on Induced Fuzzy C*-algebras Journal of Computational Analysis and

Applications 20(2), 266-276, 2016.

17. Gang Lu , Jun Xie , Qi Liu , Yuanfeng Jin ,  Hyers-Ulam stability of derivations in fuzzy Banach space J. Nonlinear Sci. Appl.

9 (2016), 5970–5979  

18.Gang Lu, Qi Liu, Yuanfeng Jin, Jun Xie, 3-variable Jensen ρ-functional inequalities and equations,J. Nonlinear Sci. Appl. 9

(2016), 5995–6003,

19. Ming Fang, Gang Lu, Dong He Pei,Functional inequalities in generalized quasi-Banach spaces,J. Nonlinear Sci. Appl. 9 (2016),

2481–2491 Volume 9, Issue 5, pp 2481--2491

20. Choonkil Park, Gang Lu, Yinhua Cui, Yuanfeng Jin,Quadratic ρ-functional inequalities in β-homogeneous normed spaces,J.

Nonlinear Sci. Appl Volume 10, Issue 1, pp 104—110

2017年.

21. Gang Lu, Guoxian Cai, Yuangfeng Jin and Choonkil Park, Hyers-Ualm Stability of General Additive Mappings in C∗-algebra,

Journal of Computational Analysis and Applications 22(3):432-444 •, 2017.  

22. Gang Lu,Jun Xie,Yuanfeng Jin,and Qi Liu, Functional Inequalities in Vector Banach Space, Journal of Computational Analysis and

Applications VOL. 23, NO.5, 2017, 889-896

2018 年

23.Gang Lu, Jun Xie, Choonkil Park∗ and Yuanfeng Jin∗,Hyers-Ulam stability of an additive set-valued functional equation,

Journal of Computational Analysis and Applications,Vol.24, No.3,2018.556-560.

24. Choonkil Park, Gang Lu Yinhua Cai and Ming Fang, Quadratic ρ-functional Equations in Non-Archimendean Banch Space, Journal of

Computational Analysis and Applications ,Vol.24, No.4,2018, 752-759


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