廖新元

廖新元，理学博士，博士后，南华大学数理学院教授。美国数学评论《Math. Reviews》评论员，Appl.Math.E-Note； J.Math.Control Science Appl.；Hindawi—DDNS等学术刊物论文评审员。目前主要从事微分方程动力系统、生物数学等方面的研究工作。在国内外学术刊物上发表科研论文30余篇，其中在SCI源刊杂志上已发表学术论文13篇。已与美国、加拿大、意大利和台湾等多位微分方程知名专家建立了良好的国际学术交流和研究合作关系。2005-2007主持一项湖南省教育厅科研项目；2007年与导师合作成功申报了国家自然科学基金项目；2007主要参加了湖南省自然科学基金二项。 近几年主讲了《常微分方程》、《数学分析》、《数学模型》、《高等数学》、《泛函分析》、《线性代数》等本科课程及《微分方程定性与稳定性方法》等研究生课程的教学。 近五年发表录用的学术论文： [1] Xinyuan Liao，Existence of positive periodic solutions for general delayed nonautonomous differential equation，Pure and Applied Mathematics, 2003 19(3) 751-760. [2] Huiyan Zhu, Lihong Huang , Xinyuan Liao, Convergence and periodicity of solutions for a class of delay difference equations, Comp. Math. Appl., 2004, 48: 1477-1484. [3] Xinyuan Liao, Suisun Cheng, Convergent and Divergent Solutions of a Discrete Nonautonomous Lotka-Volterra Model, Tamkang Journal of Mathematics, 36:4(2005), 337-344 [4] Xinyuan Liao, Convergent and Divergent Solutions of Two-Dimensional Nonlinear Di?erence System, Ann. Of Diff. Eqs. 21:4 (2005), 533-540. [5] Xinyuan Liao, Huiyan Zhu, Fengde Chen. On asymptotic stability of delay-difference systems, Applied Mathematics and Computation, 2006 176：759-767. [6] Fengde Chen, Xinyuan Liao, Zhongkai Huang, The dynamic behavior of N-species cooperation system with continuous time delays and feedback controls, Applied Mathematics and Computation, 2006 181: 803-815. [7] Caidi Zhao, Shengfan Zhou, Xinyuan Liao, Uniform attractors for nonautonomous incompressible non-Newtonian fluid with locally uniform integrable external forces, J. Math. Phys., , 2006 47, 052701(1-13). [8] Xinyuan Liao , Wantong Li and Y. N. Raffoul, Boundedness in Nonlinear Functional Difference Equations via Non-negative Definite Lyapunov Functionals with Applications to Volterra Discrete Systems, J. Nonlinear Studies, Volume 13 2006 1 : 1-14. [9] Xinyuan Liao, Shengfan Zhou, Zigeng Ouyang, On a stoichiometric two predators on one prey discrete model, Applied Mathematics Letters, 20(2007) 272-278. [10] Xinyuan Liao, Zigeng Ouyang, Shengfan Zhou, Permanence and stability of equilibrium for a two-prey one-predator discrete model, Applied Mathematics and Computation, Volume 186, Issue 1, 1 March 2007, Pages 93-100. [11] Xinyuan Liao, Shengfan Zhou, Yuming Chen, Permanence for a discrete time Lotka–Volterra type food-chain model with delays, Applied Mathematics and Computation, Volume 186, Issue 1, 1 March 2007, Pages 279-285. [12] Shengfan Zhou, Caidi Zhao, Xinyuan Liao, Compact uniform attractor for dissipative non-autonomous lattice dynamical systems, Commu. Pure and Applied Analysis, 6(2007), 1087-1111. [13] Xinyuan Liao and Youssef N. Raffoul, Asymptotic behavior of Positive Solutions of Second Order Nonlinear Difference Systems, J. Nonlinear Studies, Volume 14 2007 Number 4 Pages 311-318. [14] Xinyuan Liao, Shengfan Zhou, Yuming Chen，On permanence and global stability in a general Gilpin-Ayala competition predator-prey discrete system ，Applied Mathematics and Computation, Volume 190, Issue 1, 1 July 2007, Pages 500-509 . [15] Xinyuan Liao, Shengfan Zhou, Yuming Chen, Permanence and global stability in a discrete n-species competition system with feedback controls, Nonlinear Analysis: Real World Applications, Volume 9, Issue 4, September 2008, Pages 1661-1671 [16] Xinyuan Liao, Shengfan Zhou, Youssef N. Raffoul, On the discrete-time multi-species competition–predation system with several delays, Applied Mathematics Letters, Volume 21, Issue 1, January 2008, Pages 15-22. [17] Xinyuan Liao, Zigeng Ouyang, Shengfan Zhou, Permanence of species in nonautonomous discrete Lotka–Volterra competitive system with delays and feedback controls, Journal of Computational and Applied Mathematics, Volume 211, Issue 1, 15 January 2008, Pages 1-10. [18] Xinyuan Liao , Wantong Li and Youssef N. Raffoul, Asymptotic Behavior of Solutions of a Class of Nonlinear Difference Systems, Appl.Math. E-Note, in press. [19] Xinyuan Liao, Xianhua Tang, Shengfan Zhou, Existence of traveling wavefronts in a cooperative systems with discrete delays, Applied Mathematics and Computation, in view. [20] Xinyuan Liao, Shengfan Zhou, Yuming Chen，On the traveling wavefronts in reaction advection diffusion system with delays, Applied Mathematics Letters, in view.