共查询到20条相似文献,搜索用时 23 毫秒
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本文研究两种群竞争系统持续存在性和全局渐近稳定性。新近文〔2〕保持了文〔1〕的条件而推广了方程,文〔3〕减弱了文〔1〕的条件。我们则改进文〔1〕的条件,但与文〔3〕中定理1的条件互不包含,且有新意。 相似文献
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本文考虑一类非线性中立型时滞微分方程解的渐近性,给出了方程的解收敛于常数的结果.所得结论改进和推广了文献中的某些已知结果. 相似文献
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曾小龙 《纯粹数学与应用数学》1994,(1)
本文综合利用LyapunovV-函数,LaSalle不变性原理和构造正向不变集的方法,讨论了二维齐次状态双线性系统(1)的全局Lyapunov渐近稳定性,发展了文[1]、[2]的结果. 相似文献
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61. Introduction and PreliminariesLet C be a nonempty subset Of a Banal spare X. Then a mapping T: C -- C is saidto be a LiPSdrizian maPPing if, for ear integer n 2 1, there eallts a constant km > 0' such that Ilaal ~ chill S k.llx ~ all for all ale E C. A Lipschitzian mapping T is saidto be ~ k-LiPSdszian if km = k for all n 2 1, nonerpansive if km = 1 for alln 2 1, eleCtively. Moreover, a maPPing T: C - C is called asymptotically regularll'191if Asllgu 'z ~ chill = 0 for all 2 E… 相似文献
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ONAPROBLEMOFSUMSOFMIXEDPOWERS(I)LUMINGGAOYUGANGAbstractLetRb,c(n)denotethenumberofrepresentationsofnasthesumofonesquare,fo... 相似文献
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§1.IntroductionThispaperisdevotedtothestudyofthelargetimebehaviourofsmoothsolutionsforinitialboundaryvalueproblemsinonedi... 相似文献
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STABILITY OF SOLUTIONS OF FIRST ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH OSCILLATORY COEFFICIENTS 总被引:1,自引:0,他引:1
STABILITYOFSOLUTIONSOFFIRSTORDERNONLINEARNEUTRALDIFFERENTIALEQUATIONSWITHOSCILLATORYCOEFFICIENTS¥WangQiru(王其如)(LuoyangTeacher?.. 相似文献
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ON ASYMPTOTIC NORMALITY OF PARAMETERS IN LINEAR EV MODEL 总被引:2,自引:0,他引:2
This paper studies the parameter estimation of one dimensional linear errors-in-variables (EV) models in the case that replicated observations are available in some experimental points. Asymptotic normality is established under mild conditions, and the parameters entering the asymptotic variance are consistently estimated to render the result useable in construction of large-sample confidence regions. 相似文献
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庚建设 《高校应用数学学报(A辑)》1992,7(2):272-280
考虑具正负系数的时滞微分方程 x'(t)+p(t)x(t-)-q(t)x(t-r)=0,(1)其中p,q∈C([t_0,∞),R~+),τ,r∈R~+=[0,∞).我们获得了(1)的所有解振动的充分条件.也研究了(1)的所有非振动解的渐近性. 相似文献
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1.引言数值方法的动力特征近年引起了人们的广泛关注。其中之一就是系统的平衡态和数值方法的平衡态相一致的问题,即用一个数值方法沿定步长求解系统时,是否会出现伪平衡。不可能出现伪平衡的方法称为是正则的。RK方法和线性多步法的正则性已被众多的文献研究[2,3,4],其它方法的正则性显然是一亟待研究的问题。本文讨论较RK方法和线性多步法远为广泛的一般线性方法的正则性。设f:R~(N)→R~(N)是一充分光滑的映射,考虑求解初值问题:的一般线性方法[1]:其中步长逼近于逼近于关于微分方程真解y(t)在第n层… 相似文献
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对线性回归模型Y=Xβ+ε,证明了回归系数β的Pitman估计的渐近有效性,并推广了Port和Stone[5]关于位移参数的有关结果,去掉了及文[4]中所施加的矩限制. 相似文献
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Hui Feng 《计算数学(英文版)》1998,(5)
1.IntroductionLetfi=(0,l),f(x)eL'(fl),"o(x)EH'(fl)nHI(fl),op(u)=u',weconsiderthefollowinginitial-boundaryvalueproblem:Bytheusualapproach[1--4]wecangettheglobalexistenceofthesolutionof(1.1),furthermore,thesolutionof(l.l)convergestothesolutionofthefollowingstationaryproblem(1.2)ast-co.l)Th.ProjectissupportedbyChinaPostdoctoralFoundationandScienceFOundationofChinaAcademyofEngineeringPhysics.Inthispaperweprovethatthesolutionofimplicitdifferenceschemefor(1.1)convergestothesolutionofdifferenc… 相似文献
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一类捕食-被食系统的全局渐近稳定性 总被引:1,自引:0,他引:1
本文对如下形式的具分布时滞的捕食-被食系统:通过构造Liapunov泛函,得到了该系统正平衡解全局渐近稳定的充分条件,所得结果包括了一些相关的已有结果为其特例。 相似文献
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Yue-xin Yu Shou-fu Li 《计算数学(英文版)》2005,23(4):351-356
This paper is concerned with numerical stability of nonlinear systems of pantograph equations. Numerical methods based on (k, l)-algebraically stable Runge-Kutta methods are suggested. Global and asymptotic stability conditions for the presented methods are derived. 相似文献
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《Stochastic Processes and their Applications》2019,129(11):4576-4596
The asymptotic log-Harnack inequality is established for several kinds of models on stochastic differential systems with infinite memory: non-degenerate SDEs, neutral SDEs, semi-linear SPDEs, and stochastic Hamiltonian systems. As applications, the following properties are derived for the associated segment Markov semigroups: asymptotic heat kernel estimate, uniqueness of the invariant probability measure, asymptotic gradient estimate (hence, asymptotically strong Feller property), as well as asymptotic irreducibility. 相似文献
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Hong-jiong Tian Li-qiang Fan Yuan-ying Zhang Jia-xiang Xiang 《计算数学(英文版)》2006,24(2):181-192
This paper deals with the relationship between asymptotic behavior of the numericalsolution and that of the true solution itself for fixed step-sizes. The numerical solution isviewed as a dynamical system in which the step-size acts as a parameter. We present aunified approach to look for bifurcations from the steady solutions into spurious solutionsas step-size varies. 相似文献