吕翔
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