共查询到20条相似文献,搜索用时 93 毫秒
1.
该文考虑具有可变脉冲点的脉冲微分方程零解的稳定性。通过利用L yapunov函数以及Razumikhin技巧,可以得到关于具有可变脉冲点的脉冲微分方程零 解的一致稳定和一致渐近稳定的充分条件。 相似文献
2.
3.
4.
5.
6.
提出了随机脉冲随机微分方程模型,其中所谓的随机脉冲是指脉冲幅度由随机变量序列驱动,并且脉冲发生的时间也是一个随机变量序列.因此,随机脉冲随机微分方程是对带跳的随机微分方程模型的推广.利用Gronwall不等式、Lipschtiz条件和随机分析技巧,得到了随机脉冲随机微分方程的解的存在唯一性条件. 相似文献
7.
考虑一类脉冲泛函微分方程的实用稳定性,利用锥值李亚普诺夫函数方法,建立了脉冲泛函数微分方程与脉冲常微分方程的实用稳定性之间的比较定理。 相似文献
8.
研究了一类在污染环境下的具有脉冲输入和资源循环的Monod型恒化器模型,利用Floquet定理和脉冲微分方程解的比较定理,我们得出了系统的微生物灭绝周期解全局渐近稳定以及系统持久的充分条件. 相似文献
9.
10.
证明了线性脉冲中立型时滞微分方程解的振动性等价于一类非脉冲中立型时滞微分方程解的振动性,应用这一结果建立了此类线性脉冲中立型微分方程解的振动性的显示判据。 相似文献
11.
Ravi Agarwal D. O’Regan S. Hristova 《Journal of Applied Mathematics and Computing》2017,53(1-2):147-168
The stability of the solutions of a nonlinear differential equation with noninstantaneous impulses is studied using Lyapunov like functions. In these differential equation we have impulses, which start abruptly at some points and their action continue on given finite intervals. Sufficient conditions for stability, uniform stability and asymptotic uniform stability of the solutions are established. Examples are given to illustrate the results. Also, some of the results are applied to study a dynamical model in Pharmacokinetics. 相似文献
12.
Fanchao Kong 《Journal of Fixed Point Theory and Applications》2017,19(4):2397-2416
This paper is concerned with a kind of first-order singular differential equations with impulses. The main purpose of this paper is to study the existence, uniqueness, and globally exponential stability of the positive piecewise pseudo-almost periodic solutions. The main tools utilized to establish our results consist of the contraction mapping principle and generalized Gronwall–Bellmain inequality. Two examples are given at the end of the paper to illustrate the main results. 相似文献
13.
《Communications in Nonlinear Science & Numerical Simulation》2014,19(6):2104-2114
This paper is concerned with the exponential stability analysis of impulsive stochastic functional differential systems with delayed impulses. Although the stability of impulsive stochastic functional differential systems have received considerable attention. However, relatively few works are concerned with the stability of systems with delayed impulses and our aim here is mainly to close the gap. Based on the Lyapunov functions and Razumikhin techniques, some exponential stability criteria are derived, which show that the system will stable if the impulses’ frequency and amplitude are suitably related to the increase or decrease of the continuous flows. The obtained results improve and complement ones from some recent works. Three examples are discussed to illustrate the effectiveness and the advantages of the results obtained. 相似文献
14.
Stability of impulsive functional differential equations 总被引:1,自引:0,他引:1
In this paper the stability of impulsive functional differential equations in which the state variables on the impulses are related to the time delay is studied. By using Lyapunov functions and Razumikhin techniques, some criteria of stability, asymptotic stability and practical stability for impulsive functional differential equations in which the state variables on the impulses are related to the time delay are provided. Some examples are also presented to illustrate the efficiency of the results obtained. 相似文献
15.
1IntroductionandLemmasConsiderthefolowingdiferentialequationswithimpulsiveefects:x′=f(t,x),t≠τk,△x=Ik(x),t=τk,k=1,2,…,(1)wher... 相似文献
16.
VECTORCOMPARISONPRINCIPLEFORTHESTABILITYOFMEASUREDIFFERENTIALLARGESCALESYSTEMS¥GuanZhihong(关治洪)(JianghanPrtroleumInstitute)&L... 相似文献
17.
By employing Mawhin continuation theorem and constructing suitable Lyapunov functions, the existence and globally exponential
stability of periodic solution for a class of nonautonomous differential system with impulses and time-varying delays are
investigated in this paper. Some applications, an illustrative example and numerical simulations are given to show the effectiveness
of the main results. 相似文献
18.
In this paper we show the asymptotic stability of the solutions of some differential equations with delay and subject to impulses. After proving the existence of mild solutions on the half-line, we give a Gronwall–Bellman-type theorem. These results are prodromes of the theorem on the asymptotic stability of the mild solutions to a semilinear differential equation with functional delay and impulses in Banach spaces and of its application to a parametric differential equation driving a population dynamics model. 相似文献
19.
Stability criteria in terms of two measures for functional differential equation with variable‐time impulses 下载免费PDF全文
Chao Liu Chuandong Li Tingwen Huang Hui Wang 《Mathematical Methods in the Applied Sciences》2015,38(14):2922-2936
This paper focuses on the stability in terms of two measures for functional differential equation with variable‐time impulses. Being different from most of existing literatures, the impulses of functional differential equation are assumed to be closely associated to the current state. We propose a new comparison principle for the considered systems and establish several stability criteria in terms of two measures. Also, the theoretical results are applied in a class of delayed neural network systems with variable‐tine impulses, and numerical simulations are introduced to illustrate the effectiveness of our results. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
20.
Liu Xiuxiang Xu Zhiting 《Annals of Differential Equations》2007,23(4):450-460
In this paper we study the oscillation and asymptotic behavior of third order delay differential equations with impulses.Some new sufficient conditions which guarantee that every solution is oscillatory or converges to zero are obtained. Three examples are also given to illustrate our main results. 相似文献