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国家自然科学基金(10071016): 作品数：32被引量：150H指数：7; 导出分析报告; 相关作者：黄立宏刘一戎陈海波孟益民刘开宇更多>>; 相关机构：湖南大学中南大学南华大学郴州师范高等专科学校更多>>; 相关期刊：《高校应用数学学报（A辑）》《Science China Mathematics》《应用基础与工程科学学报》《应用数学》更多>>; 相关主题：稳定性时滞CONVERGENCE双阈值收敛性更多>>; 相关领域：理学自动化与计算机技术生物学更多>>

RIEMANN BOUNDARY VALUE PROBLEM WITH RESPECT TO THE PERTURBATION OF BOUNDARY CURVE TO BE AN OPEN ARC被引量：4: 《Acta Mathematica Scientia》2009年第5期1481-1488,共8页林娟王传荣; supported by Natural Science Foundation of China (10071016);the Natural Science Foundation of Fujian Province (2008J0187);the Science and Technology Foundation of Education Department of Fujian Province (JA08255), China; By dint of the stability of Cauchy-type integral with kernel density of class H＊ for an open arc, this paper discusses the stability of the solution of Riemann boundary value problem with respect to the perturbation ...; 关键词：open arc Riemann boundary value problem smooth perturbation STABILITY

Convergence and Periodicity of Solutions for a Discrete Model: 《Chinese Quarterly Journal of Mathematics》2007年第4期523-529,共7页BIN Hong-hua; Supported by the NNSF(10071016);Supported by the Science Foundation of Jimei University(ZQ2006033); The discrete-time network model of two neurons with function f（u） ={1,u∈[0,σ] 0,U∈[0,σ]is considered. We obtain some sufficient conditions that every solution of system is convergent or periodic.; 关键词：CONVERGENCE PERIODICITY discrete neural network model

一类离散时滞神经网模型解的收敛性和周期性(英文)被引量：1: 《生物数学学报》2006年第2期177-183,共7页朱惠延黄立宏; Research supported by National Natural Science Foundation of China (10071016)the Doctor Program Foundation of the Ministry of Education of China (20010532002)Foundation for University Excellent Teacher by the Ministry of Education; 考虑了一类具分段常数非线性时滞差分系统,得到了系统解的收敛性和周期性结果．; 关键词：差分系统时滞收敛性周期性

PERIODIC SOLUTIONS FOR A LINARD-TYPE EQUATION WITH DELAYS被引量：1: 《Annals of Differential Equations》2005年第3期460-464,共5页Xiao Bing Liu Bingwen Huang Lihong; This work was supported by the NNSF of China (10071016) the Doctor Program Foundation of the Ministry of Education of China (20010532002) the Key Project of Chinese Ministry of Education (No.[2002]78).; In this paper, we use the coincidence degree theory to establish new results on the existence of T-periodic solutions for the Liénard-type equation with delays.; 关键词：Liénard-type equation DELAY periodic solution coincidence degree

ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR A CLASS OF DELAY DIFFERENCE EQUATION被引量：1: 《Annals of Differential Equations》2005年第1期99-105,共7页ZhuHuiyan HuangLihong; Research supported by National Natural Science Foundation of China (10071016)the Key Research Program of Science and Technology of the Ministry of Education of China, the Doctor Program Foundation of the Ministry of Education of China (20010532002)Foundation for University Excellent Teacher by the Ministry of Education.; We propose a class of delay difference equation with piecewise constant nonlinearity. Such a delay difference equation can be regarded as the discrete analog of a differential equation. The convergence of solutions an...; 关键词：difference equation asymptotic behavior CONVERGENCE PERIODICITY

Two Inequalities for Convex Functions被引量：2: 《Acta Mathematica Sinica,English Series》2005年第1期193-196,共4页PingZhiYUAN HaiBoCHEN; supported by the National Natural Science Foundation of China(No.10071016); Let a_0 < a_1 < … < a_n be positive integers with sums Σ_(i=0)~n∈_ia_i(∈_i = 0,1) distinct. P. Erdos conjectured that Σ_(i=0)~n 1/a_i ≤ Σ_(i=0)~n 1/2~i. Thebest known result along this line is that of Chen: Let...; 关键词：Convex functions Finite sums Limits INEQUALITIES

BEHAVIOR OF SOLUTIONS FOR A CLASS OF DIFFERENCE SYSTEMS: 《Applied Mathematics(A Journal of Chinese Universities)》2004年第4期390-398,共9页BinHonghua HuangLihong; the National Natural Science Foundation of China ( 1 0 0 71 0 1 6) ,the Key Project ofChinese Ministry of Education ( No[2 0 0 2 ]78) ,the Doctor Program Foundation of the Ministry ofEducation of China( 2 0 0 1 0 5 32 0 0 2 ) ,the Foundation for Universi; In this paper, the discrete-time neural network model of two neurons with piecewise constant argument is considered. Some sufficient conditions under which every solution is either periodic or convergent are obtained.; 关键词：CONVERGENCE PERIODICITY difference system neural network.

Asymptotic Behavior of a Discrete-time Network Model of Two Neurons被引量：1: 《Journal of Mathematical Research and Exposition》2004年第2期267-272,共6页朱惠延黄立宏; Supported by National Natural Science Foundation of China (10071016), the Key Research Program of Science and Technology of the Ministry of Education of China, the Doctor Program Foundation of the Ministry of Education of China(20010532002) and Foundatio; This paper is concerned with a delay difference systems arising from an arti-ficial network model of two neurons with piecewise coustant nonlinearity. The differencesystems can be regarded as the discrete analog of th...; 关键词：Neural networks asymptotic behavior difference system piecewise constant nonlinearity

Hopf Bifurcation of a Positive Feedback Delay Differential Equation: 《Northeastern Mathematical Journal》2003年第3期213-223,共11页陈玉明黄立宏; The start-up funds of Wilfrid Laurier University of Canada, the NNSF (10071016) of China;the Doctor Program Foundation (20010532002) of Chinese Ministry of Education; the Key Project of Chinese Ministry of Education ([2002]78) and the; Under some minor technical hypotheses, for each T larger than a certain rS > 0, Krisztin, Walther and Wu showed the existence of a periodic orbit for the positive feedback delay differential equation x(t) = -rμx(t) +...; 关键词：delay differential equation positive feedback Hopf bifurcation

一类平面三次多项式系统的赤道极限环分支被引量：1: 《中南工业大学学报》2003年第3期324-327,共4页陈海波刘一戎; 国家自然科学基金资助项目(10071016); 研究了一类平面三次多项式系统赤道极限环分支问题,给出了易于计算的系统赤道环量的代数递推公式.同时,计算了一类三次系统的前6个赤道环量,得到了系统在赤道邻域的可积性条件及在赤道附近存在5个极限环的系数条件,给出了一个平面三次...; 关键词：三次系统赤道环量稳定性可积性极限环分支

国家自然科学基金(10071016)