共查询到20条相似文献,搜索用时 31 毫秒
1.
对一类具时滞的Hopfeild型神经网络模型,在非线性神经元激励函数只要求满足Lipschitz连续的条件下,利用推广的Halanay时延微分析不等式、Dini导数以及泛函微分析技术,给出了这类模型的平衡点全局指数稳定性和全局吸引性的充分条件,这些条件易于检验,且改进和推广了前人的结论.此外,此文给出了研究神经网络模型的全局吸引性的微分不等式比较方法. 相似文献
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This paper explores fundamental connections between boundedness of orbits, and stability and attractivity of closed sets. For this purpose, the paper considers topological notions of stability and attractivity which do not depend on a metric. The notions considered are characterized in terms of restricted prolongations and positive limit sets, and connections with boundedness are studied. Finally, the notion of nontangency is used to give a Lyapunov result for Lyapunov stability, attractivity and boundedness of orbits. Unlike previous sufficient conditions for boundedness, our result does not require the Lyapunov function to be proper or weakly proper. Examples are provided to illustrate the results. 相似文献
3.
Bapurao C. Dhage V. Lakshmikantham 《Nonlinear Analysis: Theory, Methods & Applications》2010,72(5):2219-268
In this paper two existence results concerning the global attractivity and global asymptotic attractivity for a certain functional nonlinear integral equation are proved. Our existence results include several existence as well as attractivity results obtained earlier by Banas and Dhage (2008) [1], Hu and Yan (2006) [3], Dhage (2009) [15] and Banas and Rzepka (2003) [7] as special cases under some weaker Lipschitz conditions. A measure theoretic fixed point theorem of Dhage (2008) [6] is used in formulating our main results and the characterizations of solutions are obtained in the space of functions defined, continuous and bounded on unbounded intervals. 相似文献
4.
侯强 《数学的实践与认识》2014,(2)
建立了具有Holling I功能反应的离散时滞捕食与被捕食模型,引用已有的结论证明了系统的永久持续性,并且构造Lyapunov函数证明了系统正解的全局吸引性. 相似文献
5.
Xi-tao Yang 《高校应用数学学报(英文版)》2010,25(1):25-34
Sufficient conditions are obtained which guarantee the uniform persistence and global attractivity of solutions for the model of hematopoiesis. Then some criteria are established for the existence, uniqueness and global attractivity of almost periodic solutions of almost periodic system. 相似文献
6.
Wanping Liu 《Applied mathematics and computation》2012,218(11):6297-6303
This paper studies a family of nonautonomous max-type difference equations with several delays. Using some transformations we prove global attractivity of positive solutions to these equations under some conditions. Some of our results considerably extend related ones in the literature. Two examples are given to illustrate the main results. 相似文献
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一类时滞差分方程的全局吸引性及其应用 总被引:3,自引:0,他引:3
研究一类广泛的时滞差分方程的全局吸引性 ,在较弱的前提下给出其零解全局吸引的充分条件 .将定理应用于红血球增长差分模型及广义 L ogistic差分模型 ,所得定理推广和改进了已有的结果 相似文献
9.
Ma Manjun Tang Hengsheng Wang Zhicheng Dept. of Math. South China Univ. Hengyang . Dept. of Appl. Math. Hunan Univ. Changsha . 《高校应用数学学报(英文版)》2001,16(3)
§ 1 IntroductionConsider the difference equationΔyn=rnynK -yn- ln K -cyn- ln, n =0 ,1 ,2 ,...,( 1 .1 )whereΔ is the forward difference operator defined byΔyn=yn+1 -yn,{rn}n≥ 0 is a sequenceof nonnegative real numbers,{ln}n≥ 0 is a sequence of positive integers,{n-ln}n≥ 0 is nonde-creasing,limn→∞ ( n-ln) =∞ ,and K is a positive constant,c∈ [0 ,1 ) .Obviously,( 1 .1 ) is aformally discrete analogue of the following single population growth model:N′( t) =r( t) N( t) K -N( t-τ( t… 相似文献
10.
《Mathematical and Computer Modelling》2000,31(6-7):9-28
In this paper, some new global attractivity results are given for scalar Lotka-Volterra differential equation with delays. Some examples and related open problems are also raised up at the end of the paper. 相似文献
11.
An impulsive differential equation with time varying delay is proposed in this paper. By using some analysis techniques with combination of coincidence degree theory, sufficient conditions for the permanence, the existence and global attractivity of positive periodic solution are established. The results of this paper improve and generalize some previously known results. 相似文献
12.
时滞Hopfield神经网络模型的全局吸引性和全局指数稳定性 总被引:6,自引:0,他引:6
对具有时滞的Hopfield神经网络模型,在非线性神经元激励函数是Lipschitz连续(而非已有的大部分文献中假设是Sigmoid函数)的条件下,通过构造适当的泛函,给出了这类模型全局吸引和平衡点全局指数稳定的易于验证的充分条件。 相似文献
13.
《Mathematical Methods in the Applied Sciences》2018,41(10):3856-3867
In this paper, by applying the fluctuation lemma and some differential inequality technique, delay‐dependent criteria are obtained for the global attractivity of a differential neoclassical growth model with patch structure and multiple time‐varying delays. Moreover, some numerical examples are provided to illustrate the validity of the obtained results. 相似文献
14.
非线性时滞差分方程的持续生存和渐近性质 总被引:2,自引:0,他引:2
研究了一类非线性时滞差分方程解的渐近性质,得到了方程持续生存和全局吸引的充分条件.这些结果可应用于一类非线性时滞差分方程和时滞离散Logistic模型,并包含了一些已知的结果. 相似文献
15.
This article investigates the global attractivity for impulsive population dynamics with delay arguments. Several sufficient conditions are obtained to ensure the global attractivity of the zero solution. These conditions do not require the boundedness of delay arguments, nor do they require some strict conditions on impulsive functions. 相似文献
16.
In this paper, a Volterra model with mutual interference and Beddington-DeAngelis functional response is investigated, some sufficient conditions which guarantee the existence and global attractivity of positive periodic solution for the system are obtained. Furthermore, our results improve the main results of paper [1]. 相似文献
17.
《Nonlinear Analysis: Real World Applications》2007,8(4):1029-1039
In this paper we consider the nonlinear impulsive delay population model. The main objective is to systematically study the qualitative behavior of the model including existence of periodic solutions, global attractivity and oscillation. The main oscillation results are the results of the prevalence of the mature cells about the periodic solutions and the global attractivity results are the conditions for nonexistence of dynamical diseases on the population. 相似文献
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In this paper,by constructing Liapunov Sequences,we study the golbal attractivity of linear Parabolic volterra difference equations of neutral type and obtain some sufficient conditions for the global attractivity of the zero solution of above equations. 相似文献
20.
何学中 《应用数学学报(英文版)》1995,11(2):184-191
GLOBALATTRACTIVITYOFLINEARNON-AUTONOMOUSNEUTRALDIFFERENTIAL-DIFFERENCEEQUATIONSHEXUEZHONG(何学中)(DepartmentofMathematics,Ningxi... 相似文献