鲁世平
  • 职称:教授
  • 学科:数学
  • 所在单位:JS金沙(公共数学教学部)
教师拼音名称:lushiping
办公地点:尚贤楼609办公室
性别:
博士生导师

教育经历
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工作经历
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研究方向
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个人简介

学习与工作经历:

 
1.  1982年7月毕业于铜陵师专数学系,分配到安徽繁昌芦南中学任教;
2. 1996年7月毕业于安徽大学,获理学硕士学位,专业: 基础数学;
3. 2004年3月毕业于北京理工大学,获理学博士学位,专业: 应用数学;
4. 现为JS金沙教授,博士生导师.

社会兼职:

 

 

      主要从事时滞微分方程理论与应用研究,在国内外学术杂志发表论文一百多篇,被SCI收录70多篇,荣获安徽省科学技术三等奖(20061月和20092月)二次,海南省学技术一等奖一次(20091月),20069---200610月,应邀到南开大学陈省身数学所访问,从事泛函微分方程同宿轨问题研究。完成国家自然科学基金1项.  曾受聘担任

1.  SCI期刊《Journal of Applied Mathematics(Hindawi Publishing Corporation) 编委(2012-2017);

2.《JS金沙学报》(自然科学版)编委(2012-2016);

研究领域:

主要研究方向:
1. 时滞微分方程周期解与同宿解问题的研究;
2. 生物种群模型动力学研究;
3.空间粒子运动模型动力学研究.

科研成果:

 
一、项目

[1] 泛函微分方程周期解、同宿解及相关问题的研究,国家自然科学基金(No.11271197),主持 , 2013.01---2016.12.
[2] 中立型泛函微分方程周期解问题的研究,JS金沙人才基金(No.2012r101)
主持 , 2013.01---2014.12.
二、主要论文

 

[1] S.P. Lu and L.J. Chen, The problem of existence of periodic solutions for neutral functional differential system with nonlinear difference operator, J. Math. Anal. Appl.387 (2012) 1127–1136.

[2]  Xiang Lv,  Shiping Lu, Homoclinic solutions for ordinary p-Laplacian systems,Applied Mathematics and Computation 218 (2012) 5682–5692

 

[3]  S.P. Lu et al, New properties of D-operator and its applications on the problem of periodic solutions to neutral functional differential system, Nonlinear Anal., 7420113011–3021.

 

[4] 王雯,鲁世平,厄尔尼诺-南方涛动时滞海气振子耦合模型,物理学报602011030205-1—030205-4.

 

[5] S.P. Lu, Homoclinic solutions for a nonlinear second order differential system with p-Laplacian operator, Nonlinear Analysis: Real World Appl. 122011525–534.

 

[6]  S.P. Lu, Homoclinic solutions for a class of second-order p-Laplacian differential systems with delay, Nonlinear Anal.: Real World Appl. 122011780–788.

 

[7]  S.P. Lu,The problem of existence of homoclinic solutions to a Rayleigh equation with delay,  Proceedings of the 5th Interna ional Congress on Mathematical Biology, Nanjing, P. R. China, June 3-5, 2011.

 

[8]  S.P. Lu  Existence of homoclinic solutions to a functional differential equation, 2010 International  Conference on Applied Math. and Physics, Nanjing, P. R. China, May 7-9, 2010

 

[9]  Zhengxin Wang, S.P. Lu and Jinde Cao, Existence of periodic solutions for a p-Laplacian neutral functional differential equation with multiple variable parameters, Nonlinear Anal,  722010734-747.

 

[10]  X. Lv, S.P. Lu, P. Yan, Existence of homoclinic solutions for a class of second order Hamiltonian systems, Nonlinear Anal., 72 2010390-398. 

 

[11]  X. Lv, S. P. Lu, P. Yan, Homoclinic solutions for nonautonomous second-order Hamiltonian s systems with a coercive potential, Nonlinear Anal., 722010 3484-3490.

 

[12]  X. Lv, S.P. Lu, P. Yan, Existence and global attractivity of positive periodic solutions of Lotka-Volterra predator-prey systems with deviating arguments, Nonlinear Anal., Real World Appl., 112010574-583.

 

[13] X. Lv, P. Yan, S.P. Lu, Existence and global attractivity of positive periodic solutions of competitor-competitor-mutualist Lotka-Volterra systems with deviating arguments, Mathematical and Computer Modelling512010 823-832.

 

 

[14] 陈丽娟,  鲁世平,零维气候系统非线性模式的周期解问题,物理学报,202013200201-03

 

[15] 陈丽娟鲁世平,莫嘉琪,磁层-电离层耦合过程中等离子体粒子运动的周期轨,物理学报,92013090201-04


[16]Lu, Shiping, Existence of periodic solutions for neutral functional differential equations with nonlinear difference operatorActa  Mathematica Sinica-English Series,  32(2016) 1541-1556

 



[17] Lu, Shiping, Zhong, Tao, Two homoclinic solutions for a nonperiodic fourth-order differential equation without coercive condition, Mathematical Methods in the  Applied  Sciences, 40(2017) 3163-3172

 

[18]Fanchao Kong, Shiping Lu, and Zhiguo Luo , Positive periodic solutions for singular higher order delay differential equations, Results in Mathematics,  72 (2017) 71–86

 

[19]Shiping Lu and Xuewen Jia, Homoclinic solutions for a second-order singular differential equation, Journal of  Fixed Point Theory and Applications. (2018) 20:101

 

[20] Fanchao Kong,  Shiping Lu,  Zhiguo Luo, Solitary wave and periodic wave solutions of generalized neutral-type neural networks with delays, Neural Process Letters,  48( 2018) 441–458

 

[21] Lu Shiping;Guo Yuanzhi ;  Chen Lijuan, Periodic solutions for Lienard equation with an indefinite singularity, Nonlinear Analysis, Real  World  Applications, 45(2019) 542-556.

 

[22] Yu, Xingchen , Shiping, A multiplicity result for periodic solutions of Lienard equations with an attractive singularity, Applied Mathematics and Computation,  

346( 2019) 183-192. 

荣誉:

 

1.项目--泛函微分方程周期解与偏差量之间关系研究,荣获2009年安徽省科学技术三等奖,排名第一;

2.项目--微分方程的相关算子理论及其应用研究,荣获2009年海南省科学技术一等奖,排名第三;

3.项目--泛函微分方程周期解问题研究,荣获2006年安徽省科学技术三等奖,排名第一。

 

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