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《Applied Mathematics A Journal of Chinese Universities》 1996-01
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GLOBAL ATTRACTIVITY IN ONE-DIMENSIONAL NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS

Shen Jianhua;Yu Jianshe;Wang Zhicheng Dept. of Math., Hunan Normal University, Changsha 410081 Dept. of Appl. Math., Hunan University, Changsha 410082  
In this paper, we obtain a set of sufficient conditions under which all positive solu-tions of the nonlinear functional differential equation x′(t)=x(t)f(x_t) are attracted to thepositive equilibrium of the equation. Our results extend the method of Ladas. Some appli-cations of the results to some delay Logistic equations improve the results in [1, 2, 5].
【Fund】: 国家自然科学基金
【CateGory Index】: O175
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【References】
Chinese Journal Full-text Database 4 Hits
1 TU Jian bin (Teaching and Research Section of Mathematics,Yueyang University,Yuyang 414000,Hunan,China);Global attractivity for a differential model with piecewise constant arguments[J];JOURNAL OF NORTHWEST NORMAL UNIVERSITY(NATURAL SCIENCE EDITION);2000-02
2 Liu Yuji ,Tan Xiaoqiu , Tu Jianbin (①③Yueyang Normal University. Hunan Yueyang 414000;②Yueyang No:1 Middle School. Hunan Yueyang 414000);GLOBAL ATTRACTIVITY OF A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS AND ITS APPLICATION[J];JOURNAL OF YUEYANG NORMAL UNIVERSITY;2000-01
3 FENG WEI(Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080)DUAN YONGRUI(Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240)YAN JURANG (Deptment of Mathematics, S;GLOBAL ATTRACTIVITY IN A NONAUTONOMOUS NONLINEAR DELAY DIFFERENTIAL EQUATION[J];Acta Mathematicae Applicatae Sinica;2002-02
4 LIU Yu-Ji (Department of Mathematics, Yueyang Teachers' College, Yueyang, Hunan 414000, P R China);Global Attractivity for a Class of Nonlinear Delay Difference Equations[J];Applied Mathematics and Mechanics;2002-03
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 LIU Yu ji (Yueyang Teachers College, Hunan 414000, China);Global attractivity in a model of red blood ceels[J];PURE AND APPLIED MATHEMATICS;1999-03
2 Shi Bao (Dept. of Basic Sciences, Naval Aeronautical Engineering Academy, Yantai 264001) Wang Zhicheng and Yu Jianshe (Dept. of Appl. Math., Hunan Univ., Changsha 410082);POSITIVE SOLUTIONS AND GLOBAL ASYMPTOTIC STABILITY IN DELAY DIFFERENCE EQUATIONS[J];APPLIED MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES;1997-04
3 Liu Kaiyu Yu Jianshe ( Dept.of Appl. Math., Hunan University, Changsha 410082) Luo Jiaowan ( Research Dept., Changsha Railway Institute, Changsha 410075);GLOBAL ATTRACTIVITY AND UNIFORM STABILITY FOR A PERTURBED NONAUTONOMOUS LINEAR DELAY DIFFERENTIAL EQUATION[J];APPLIED MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES;1998-03
4 ZHANG Yuelian,SHEN Jianhua(Department of Mathematics,Mathematics and Computer Science College,Hunan Normal University,Changsha 410003,China);Comparison Theorem and Application of Uniform Lipschitz Stability for RFDE[J];Journal of Natural Science of Hunan Normal University;2002-04
5 Shen Jianhua (Department of Mathematics,Hunan Normal University,Changsha, 410081)Dai Bingxiang (Department of Applied Mathematics,Hunan University,Changsha,410082);Global Stability Criterion for Nonlinear Delay Difference Equations[J];JOURNAL OF NATURNAL SCIENCE OF HUNAN NORMAL UNIVERSITY;1998-03
6 Yuan Rog;Almost Periodic Solutions of Neutral Delay Differential Equations WilPiecewise Constant Argument[J];CHINESE ANNALS OF MATHEMATICS,SERIES A;1998-04
7 Luo Jiaowan (Research Institute of Sciences, Changsha Railway University, Changsha 410075, Caina)Yu Jianshe (Department of Applied Mathematics, Hunan University, Changsha 410082, China);Global Asymptotic Stability of Nonautonomous Mathematical Ecological Equations with Distributed Deviating Arguments[J];ACTA MATHEMATICA SINICA;1998-06
8 Zhou Zhan;Yu Jianshe(Department Of Applied Mathematics, Hadal UniveTsity, Changsha 410082, P. R. China)(E-mail: jsyu@mail. hunu,edu.cn);Stability for Nonautonomous Neutral Delay Difference Equations[J];ACTA MATHEMATICA SINICA;1999-06
9 LUO Jiao Wan (Institute of Sciences, Railway Coilege, Central South University, Changsha 410075, P. R. China) SHEN Jian Hua (Department of Mathematics, Hunan Normal University, Changsha 410081, P. R. China) (E-mail: jhsh@public.cs.hn.cn);Asymptotic Behavior of Forced Nonlinear Delay Differential Equations with Impulses[J];Acta Mathematica Sinica;2001-06
10 Shen Jianhua & Wang Zhicheng(Hunan University);OSCILLATION AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS WITH IMPULSES[J];微分方程年刊(英文版);1994-01
【Secondary References】
Chinese Journal Full-text Database 3 Hits
1 ZHU Dao-jun,CHEN Si-yang (Department of Mathematics,Shanxi Normal University,Xi'an 710062,China);The attractivity of a feedback control Logistic system with piecewise constant arguments[J];Journal of Anhui University(Natural Sciences);2005-02
2 WANG Dong-shu,WANG Quan-yi(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China);Global Attractivity of the Zero Solution of a Class of Functional Differential Equations[J];Journal of Huaqiao University(Natural Science);2011-04
3 OU Bo qun 1, QIN Fa jin 2(1. College of Mathematics and Calculate Science, Zhanjiang Normal College, Zhanjiang 524048, China; 2. Department of Mathematics, Liuzhou Teachers College, Liuzhou 545003, China);Study on the Almost Periodic Solution of a Class of Competitive Diffusive Lotka-Volterra Systems[J];Journal of Ocean University of Qingdao;2004-04
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