鲁世平 - 南京信息工程大学

个人简介

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; 1996年7月毕业于安徽大学,获理学硕士学位,专业: 基础数学; 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; 现为南京信息工程大学教授,博士生导师

研究领域

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

近期论文

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[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., 74（2011）3011–3021. [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，60（2011）030205-1—030205-4. [5] S.P. Lu, Homoclinic solutions for a nonlinear second order differential system with p-Laplacian operator, Nonlinear Analysis: Real World Appl. 12（2011）525–534. [6] S.P. Lu, Homoclinic solutions for a class of second-order p-Laplacian differential systems with delay, Nonlinear Anal.: Real World Appl. 12（2011）780–788. [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, 72（2010）734-747. [10] X. Lv, S.P. Lu, P. Yan, Existence of homoclinic solutions for a class of second order Hamiltonian systems, Nonlinear Anal., 72（ 2010）390-398. [11] X. Lv, S. P. Lu, P. Yan, Homoclinic solutions for nonautonomous second-order Hamiltonian s systems with a coercive potential, Nonlinear Anal., 72（2010） 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., 11（2010）574-583. [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 Modelling, 51（2010） 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，20（2013）200201-03。 [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，9（2013）090201-04。 [16]Lu, Shiping, Existence of periodic solutions for neutral functional differential equations with nonlinear difference operator, Acta 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