个人简介: 吕翔,教授,博士生导师。现作为负责人已完成国家自然科学基金面上项目,国家自然科学基金青年项目和上海市自然科学基金项目各一项,曾入选上海市青年科技英才“扬帆计划”和上海市教委“晨光计划”,获得过2014年上海市研究生优秀成果(博士学位论文)和安徽省第四届优秀硕士学位论文。目前主要研究方向:随机动力系统和随机微分方程,已经在SIAM Journal on Control and Optimization(2篇)、Journal of Differential Equations、IEEE Transactions on Automatic Control (Regular Paper)等国际权威期刊发表学术论文多篇。其余信息见个人简历Xiang Lv CV.pdf 研究兴趣: 1. 随机动力系统与随机微分方程 2. 临界点理论及其在Hamilton系统中的应用 3. 生物数学 主讲课程: 实变函数(本科)、常微分方程(本科)、高等数学(本科)、实分析(研究生)、现代概率论基础(研究生)、随机微分方程(研究生) 待发表的论文: 1. 吕翔,实分析中的一个反例,已投稿 2. Xiang Lv, Global stability of some semilinear stochastic functional differential equations and applications, preprint 近年来发表的部分论文: 12. Jifa Jiang, Xiang Lv*, Global stability of stationary solutions for a class of semilinear stochastic functional differential equations with additive white noise, Journal of Differential Equations, 2023, 367: 890-921.JDE 2023.pdf 11. Jifa Jiang, Xiang Lv*, Analysis of a microfluidic chemostat model with random dilution ratios, Stochastics and Dynamics, 2022, 22: 2240035.SD 2022 正式版.pdf 10. Xiang Lv*, A new approach to stability analysis for stochastic Hopfield neural networks with time delays, IEEE Transactions on Automatic Control, 2022, 67: 5278-5288.TAC-2022.pdf 9. Xiang Lv*, Stability analysis of semilinear stochastic differential equations, Statistics and Probability Letters, 2022, 180: 109257.SPL 正式版.pdf 8. Xiang Lv*, Existence of unstable stationary solutions for nonlinear stochastic differential equations with additive white noise, Discrete and Continuous Dynamical Systems. Series B, 2022, 27: 2313-2323.DCDS-B 2021.pdf 7. Xiang Lv*, Existence of homoclinic solutions for a class of second-order Hamiltonian systems with locally subquadratic potentials, Qualitative Theory of Dynamical Systems, 2020, 19: 7. QTDS 2020 Lv.pdf 6. Jifa Jiang, Xiang Lv*,Global stability of feedback systems with multiplicative noise on the nonnegative orthant, SIAM Journal on Control and Optimization, 2018, 56: 2218-2247. Jiang Lv SICON2.pdf 5. Jifa Jiang, Xiang Lv*, A small-gain theorem for nonlinear stochastic systems with inputs and outputs I: Additive white noise, SIAM Journal on Control and Optimization, 2016, 54: 2383-2402. Lv-Jiang-SICON-2016.pdf 4. Xiang Lv*, Infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems, Applied Mathematics and Computation, 2016, 290: 298-306.Lv-AMC-2016.pdf 3. Xiang Lv*, Jifa Jiang, Existence of homoclinic solutions for a class of second-order Hamiltonian systems with general potentials, Nonlinear Analysis: Real World Applications, 2012, 13: 1152-1158.NONRWA1774.pdf 2. Xiang Lv*, Shiping Lu, Ping Yan, Existence of homoclinic solutions for a class of second-order Hamiltonian systems, Nonlinear Analysis: Theory, Methods & Applications, 2010, 72: 390-398.NA7781.pdf 1. Xiang Lv*, Shiping Lu, Ping Yan, Existence and global attractivity of positive periodic solutions of Lotka-Volterra predator-prey systems with deviating arguments, Nonlinear Analysis: Real World Applications, 2010, 11: 574-583.NONRWA1187.pdf 其余论文见https://mathscinet.ams.org/mathscinet/author?authorId=887423 科研项目: 1. 国家自然科学基金面上项目,随机泛函微分方程的平稳性和稳定性,No.11971316,2020.1-2023.12,主持 2. 上海市自然科学基金,随机泛函微分方程的稳定性,No.19ZR1437100,2019.7-2022.6,主持 3. 国家自然科学基金青年项目,具有不定对称矩阵二阶Hamilton系统的同宿轨研究,No.11501369,2016.1-2018.12,主持 4. 上海市青年科技英才扬帆计划项目, Hamilton系统的同宿轨及其相关问题, No.14YF1409100,2014.7-2017.6,主持 5. 上海市晨光计划项目,临界点理论和Hamilton系统的动力学行为,No.14CG43,2015.1-2017.12,主持 更新日期:2024年7月29日 |