浙师大数理与信息工程学院导师介绍:夏永辉
姓名:夏永辉 职称:副教授 所在学院:数理与信息工程学院
姓名:夏永辉
职称:副教授
所在学院:数理与信息工程学院
研究方向:近几年来,一直从事动力系统和泛函微分方程及其在生物数学的应用研究
主讲课程:主讲本科课程:《高等数学》
指导专业:(0701) 数学(一级)
近年主持的科研项目:
1.主持国家自然科学基金青年项目一项,2010.1-2012.12,项目名称:“泛函微分方程的多重概周期解和相关的分支问题”,编号: 10901140, 经费额度:16万。
2.主持浙江省自然科学基金面上项目:时标动力系统的线性化及相关的周期性问题,No. Y6100029 (2010.6-2012.6)。 5万。
3.主持福建省自然科学基金一项,2007.7-2009.7,项目名称:“几类概周期微分方程的理论和方法的研究与应用”,编号: S0750008, 经费额度:1.5万。发表论文和著作
论文著作
近年发表与本项目有关的主要论文代表作(均为SCI收录):
[1] Yonghui Xia, Maoan Han, New Conditions on the Existence and Stability of Periodic Solution in Lotka-Volterra's Population System, SIAM Journal on Applied Mathematics, 69, No. 6, (2009),pp. 1580-1597.
[2] Yonghui Xia, Jinde Cao, Maoan Han, A New Analytical Method for the Linearization of Dynamic Equation on Measure Chains, Journal of Differential Equations, 235 (2007) , 527–543.
[3] Yonghui Xia, Muren lin, Jinde Cao, The Existence of Almost Periodic Solutions of Certain Perturbation Systems,Journal of Mathematical Analysis and Applications, 310:1(2005), 81-96.
[4] Yonghui Xia, Zhenkun Huang, Maoan Han, Existence of Almost Periodic Solutions for Forced Perturbed Systems with Piecewise Constant Argument, Journal of Mathematical Analysis and Applications, 333 (2007) 798–816.
[5] Yonghui Xia, Sui Sun Cheng, Quasi-uniformly Asymptotic Stability and Existence of Almost Periodic Solutions of Difference Equations With Applications in Population Dynamic Systems, Journal of Difference Equations and Applications, 14:1 (2008), 59-81.
[6] Yonghui Xia, Z.Yang, Maoan Han, Lag synchronization of chaotic delayed Yang-Yang type fuzzy neural networks with noise perturbation based on adaptive control and parameter identification, IEEE Transcation on Neural Networks, 20:7(2009),1165-1180.
[7] Yonghui Xia, Maoan Han, Zhenkun Huang, Global attractivity of an almost periodic N-species nonlinear ecological competitive model, Journal of Mathematical Analysis and Applications, 337 (2008) 144–168.
[8] Y.H.Xia, Global Analysis of an impulsive delayed Lotka-Volterra competition system, Commun. Nonlinear Sci. Numer. Simulat., 16 (2011) 1597–1616.
[9] Yonghui Xia, Positive Periodic Solutions for a Neutral Impulsive Delayed Lotka-Volterra Competition System with the Effect of Toxic Substance, Nonlinear Analysis: : Real World Applications, 8(2007), 204-221.
[10] Y.H. Xia and P. J.Y. Wong,Global Exponential Stability of a class of retarded impulsive differential equations with applications, Chaos, Solitons and Fractrals,39:1, (2009), 440-453.
获奖情况:获2009年福建省政府颁发的科学技术进步奖三等奖一项(排名第一)
指导研究生简况:目前,带3名研究生。
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