Globally Asymptotic Stability of Equilibrium of a Dynamical Model with Infinite Delay

Globally Asymptotic Stability of Equilibrium of a Dynamical Model with Infinite Delay

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摘要 By using a criterion for asymptotic stability in Banach space BC, a group of sufficient conditions for a dynamical model with infinite delay which is derived from hematology were obtained,which refined the result in the reference [10] got by the second author herself. By using a criterion for asymptotic stability in Banach space BC, a group of sufficient condi-tioas for a dynamical model with infinite delay which is derived from hematology were obtained, which refined the result in the reference [ 10] got by the second author herself.

作者 LIXiang WENGPei-xuan

机构地区 BasicEducationDepartment DepartmentofMathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第2期121-128,共8页 数学季刊（英文版）

基金 Supported by the Natural Science Foundation of Guangdong Province(011471) Supported by the Education Bureau(0120)

关键词全局渐进稳定性无穷时滞动力系统模型正平衡解 Banach空间积分微分方程解估计 integro-differential equation infinite delay equilibrium globally asymptotic stability

分类号 O175.6 [理学—基础数学]

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参考文献10

1CURNEY W S C, BLYTHE S P, NISBET R M. Nichoson's blowfies revlsited[J ]. Nature, 1980,287:17 - 20.
2HEIDEN Uwe an der. Delays in physiological systems[J]. J Math Biol, 1979,8:345- 364.
3HEIDEN Uwe an der,MACKEY M C. The dynamics of production and destruction:analytic insight into complex behaviour[J ]. J Math Biol, 1982,16: 75 - 101.
4MACKEY M C, GLASS L. Oscillations and chaos in physiological control systems[J ]. Science, 1977,197:287 - 289.
5MACKEY M C, HEIDEN Uwe an der. Dynamical diseases and bifurcations: unstanding functional disorders in physiological systems[J ]. Funk Biol Med, 1982,156:156- 164.
6MACKEY M C. Some models in hermatopoiesis: predictions and problems[A]. ROTENBERG M, Biomathematics and Cell Kinetics[M]. North Holland: Elsevier, 1981,23 - 38.
7BURTON T A. Stability and Periodic Solution of Ordinary and Functional Differential Equations[M].Florida: Academic Press, 1985.
8ATHINSON F V, HADIX3CK J R. On determining phase spaces for functional-differential equations[J ].Funkcial Ekvac, 1988,31:331 - 347.
9FENG You-he. A local extention approach to global asymptotic behavior for functional differential equations with infinite delay[J ]. Applicable Analysis, 1996,60: 1 - 9.
10翁佩萱.一类具无穷时滞的积分微分方程解的渐近稳定性(英文)[J].应用数学,2001,14(1):22-27. 被引量：1

二级参考文献2

1Feng Y H，Appl Anal，1996年，60卷，1页
2Gopalsamy K，Bull Inst Math Acad Sin，1994年，22卷，4期，341页

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2D.Naderi,M.Salimi.Investigation of fission fragments average spin based on four dimensional Langevin dynamical model[J].Chinese Physics C,2017,41(2):124-131.
3籍艳,崔宝同.Improved delay-dependent globally asymptotic stability of delayed uncertain recurrent neural networks with Markovian jumping parameters[J].Chinese Physics B,2010,19(6):154-161.
4张德存,时宝,杨树杰.A COUNTEREXAMPLE TO THE ARTICLE "GLOBALLY ASYMPTOTIC STABILITY OF A RECURRENCE SEQUENCE[J].Annals of Differential Equations,2002,18(3):315-316. 被引量：1
5宋传静,张毅.Perturbation to Noether Symmetries and Adiabatic Invariants for Generalized Birkhoff Systems Based on El-Nabulsi Dynamical Model[J].Transactions of Nanjing University of Aeronautics and Astronautics,2015,32(4):421-427. 被引量：2
6Zhang Decun Shi Bao Yang Shujie.GLOBALLY ASYMPTOTIC STABILITY IN A MODEL FOR AN ANNUAL PLANT[J].Annals of Differential Equations,2007,23(3):373-378.
7WU Xi-zhen, TIAN Jun-long1, ZHAO Kai, ZHANG Ying-xun, LI Zhu-xia (1. Beijing Normal University).Formation of Giant Composite System in Damped Reaction ^(238)U+^(238)U[J].Annual Report of China Institute of Atomic Energy,2008(1):88-88.
8LI ChuanAn,SU JiuQing,JIANG JiJian,MENG QingMiao.The dynamical model and quantization of the Schwarzschild black hole[J].Science China(Physics,Mechanics & Astronomy),2008,51(12):1861-1867. 被引量：2
9FAN Sheng.Spallation Fragment Investigation on Nb, Au and Pb by Using Many Stage Dynamical Model[J].Annual Report of China Institute of Atomic Energy,2002(0):44-45.
10宋新宇,陈兰荪.A PREDATOR-PREY SYSTEM WITH STAGE STRUCTURE AND HARVESTING FOR PREDATOR[J].Annals of Differential Equations,2002,18(3):264-277. 被引量：8

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Globally Asymptotic Stability of Equilibrium of a Dynamical Model with Infinite Delay

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