共查询到20条相似文献,搜索用时 15 毫秒
1.
1引言中立型微分方程广泛出现于生物学、物理学及工程技术等诸多领域.数值求解中立型微分方程时,数值方法的稳定性研究具有无容置疑的重要性,其中渐近稳定性的研究是其重要组成部分.对于线性中立型延迟微分方程,渐近稳定性研究已有许多重要结果,如文献[1,2,3,4,5,6]等.对于非线性中立型变延迟微分方程,数值方法的稳定性研究近几年才有进展.2000年,Bellen等在文献[7]中讨论了Runge-Kutta法求解一类特殊的中立型延迟微分 相似文献
2.
任洪善 《Annals of Differential Equations》2004,20(1):59-69
Consider the following equationwhere 6, c and τ are constants, and τ > 0, bc ≠ 0. In this paper, we establish a necessary and sufficient condition for zero solution of Eq.(*) to be asymptotically stable, which is easy to verify and apply. 相似文献
3.
Guo Yanfeng Liu Anping Yang Xianghui Wang Xiaomei 《Annals of Differential Equations》2005,21(3):286-289
In this paper, oscillatory properties for solutions of certain nonlinear impulsive parabolic equation are investigated and a series of new sufficient conditions is established. 相似文献
4.
5.
6.
Renji Han Dept.of Basic Courses Huishang Vocational College Hefei Wei Jiang 《Annals of Differential Equations》2012,(1):38-47
In this paper,the asymptotic stability of singular nonlinear differential systems with unbounded delays is considered.The stability criteria are derived based on a kind of Lyapunov-functional and some technique of matrix inequalities.The criteria are described as matrix equation and matrix inequalities,which are computationally flexible and efficient.Two examples are given to illustrate the results. 相似文献
7.
THE V-FUNCTIONAL METHOD FOR THE STABILITY OF DEGENERATE DIFFERENTIAL SYSTEMS WITH DELAYS 总被引:3,自引:0,他引:3
1 IntroductionStability is an important perfermance index of concrete systems such asmanagement systems, power systems, engineering systems and so on. Forthe stability V--functional criterion method of functional differential systems,have had many results in recent years, see) for example, [1] and [2]. Andfor degenerate systems, papers [41-[81 have carefully discussed and given someimportant results. But we note that (see [9]) many concrete systems, besidescontain delay, are degenerate. So, f… 相似文献
8.
具两个时滞项的微分方程的稳定性 总被引:3,自引:0,他引:3
本文考虑了一类具两个时滞项的微分方程的稳定性,其中一个时滞项的系数非负,另一个时滞项的系数非正.当非负系数恒为零时,本文所得结论改进了Yorke等提出的3/2稳定性定理的相应结论,当非负系数项的时滞为零,本文不同于已有文献用Liapunov函数或泛函法将时滞项作为干扰处理,而是反过来利用时滞项让方程稳定. 相似文献
9.
Yu Jianshe 《数学年刊B辑(英文版)》1997,18(4):449-456
ASYMPTOTICSTABILITYFORACLASSOFNONAUTONOMOUSNEUTRALDIFFERENTIALEQUATIONS**YUJIANSHE*ManuscriptreceivedJuly4,1995.RevisedMarch2... 相似文献
10.
EXPONENTIALSTABILITYOFLINEARTIME-VARYINGIMPULSIVEDIFFERENTIALSYSTEMSWITHDELAYS¥GuanZhihong(关治洪);LiuYongqing(刘永清)(SouthChinaUn... 相似文献
11.
12.
研究了一类具有状态时滞的微分方程系统解的渐近行为,获得了该系统每一个有界解当t→∞时都趋于常向量,所获得的结果改进和扩展了已有文献的相关结果. 相似文献
13.
This paper deals with the numerical solution of initial value problems for systems of differential equations with a delay argument. The numerical stability of a linear multistep method is investigated by analysing the solution of the lest equation y'(t)=Ay(t) + By(1-t),where A,B denote constant complex N×N-matrices,and t>0.We investigate carefully the characterization of the stability region. 相似文献
14.
本文考虑具有多个函数时滞的中立型随机延迟微分方程p阶矩稳定性.运用Razumikhin方法,建立了一此新的矩稳定性判别法,并以线性方程为例解释了所得判别法的应用. 相似文献
15.
16.
In this paper, we consider a one-dimensional nonautonomous neutral differential equation. We obtain sufficient conditions under which the zero solution to this equation with unbounded delay and perturbation is uniformly asymptotically stable. 相似文献
17.
本文主要研究了线性随机分数阶微分方程Euler方法的弱收敛性与弱稳定性.首先构造了数值求解线性随机分数阶微分方程的Euler方法,然后证明该方法是弱稳定的和α阶弱收敛的,文末给出的数值算例验证了所获得的理论结果的正确性. 相似文献
18.
19.
GLOBAL ASYMPTOTIC STABILITY IN N-SPECIES NONAUTONOMOUS LOTKA-VOLTERRACOMPETITIVE SYSTEMS WITH DELAYS
A delayed n-species nonautonomous Lotka-Volterra type competitive system without dominating instantaneous negative feedback is investigated. By means of a suitable Lyapunov functional, sufficient conditions are derived for the global asymptotic stability of the positive solutions of the system. As a corollary, it is shown that the global asymptotic stability of the positive solution is maintained provided that the delayed negative feedbacks dominate other interspecific interaction effects with delays and the delays are sufficiently small. 相似文献
20.
Han Fei Wang Quanyi 《Annals of Differential Equations》2005,21(3):290-293
By utilizing the Krasnoselskii's fixed point theorem in cones we obtain some sufficient conditions which guarantee the existence of positive periodic solution for a class of differential equations with state-dependent delays. The results in the papers [1,2] have been improved. 相似文献