首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到18条相似文献,搜索用时 54 毫秒
1.
毛士忠(盐城师专): 读了你刊1982年第3卷第4期“二阶变系数微分方程组解的有界性与渐近性”一文后,感到其中有些地方值得商榷。具体意见如下: 1.文中开头提出的解的“有界性与渐近性” 从原文看似乎不够明确,不知指的是一切解的有界性、稳定性,还是零解的稳定性;指的是有限区间上的稳定性、还是按Lyapunov意义下的稳定性。因为对线性方程组来说“一切解在t≥t_0上的有界性等价于零解按Lyapunov意义下的稳定性”。但原文并未提及,因此不够明确。  相似文献   

2.
建立并分析了一类具有脉冲预防接种的垂直传染的SIR传染病模型,给出了系统解的一致有界性及无病周期解的存在的充分条件,根据Floquer乘子理论及脉冲微分不等式,证明了无病周期解的局部稳定性及全局渐近稳定性.  相似文献   

3.
四阶微分方程解的渐近稳定性   总被引:2,自引:0,他引:2  
本利用Liapunov函数方法,研究了一类四阶非线性微分方程解的渐近稳定性及有界性。  相似文献   

4.
一类四阶非线性微分方程解的渐近性态   总被引:5,自引:0,他引:5  
刘俊 《数学杂志》2002,22(4):469-474
本文利用Liapunov函数方法,研究了一类四阶非线性微分方程解的渐近稳定性及有界性。  相似文献   

5.
高维系统周期解的存在性与唯一性   总被引:1,自引:0,他引:1  
本文首先利用一种新方法讨论高维系统解的一致有界性,一致最终有界性及非常稳定性问题,然后将所获结果应用于高维系统周期解的存在性与唯一性的研究。另外,本文还提出了“阶梯形系统”的概念,并对其建立了一种利用系统部分方程周期解存在性判定整个系统周期解存在性的方法。  相似文献   

6.
研究一类具有避难所的分数阶捕食系统,讨论了该系统解的存在唯一性、非负性及有界性,并证明了系统正平衡点的全局渐近稳定性.  相似文献   

7.
抽象泛函微分方程:Liapunov泛函与比较原则   总被引:1,自引:0,他引:1  
本文用比较原则研究一类抽象泛函微分方程解的有界性和稳定性。  相似文献   

8.
本文研究了具有有限时滞中立型泛函微分方程解的有界性问题 ,得到了方程解的指数渐近稳定性蕴涵有界解的存在性的新的结果  相似文献   

9.
证明了一类具有无穷时滞的中立型积分微分方程解的一致有界性、一致稳定性、周期解的存在唯一性,推广和改进了王全义关于“无穷时滞的积分微分方程的周期解的存在性、唯一性与稳定性”的有关结果。  相似文献   

10.
对具有分布时滞的非自治Cohen-Grossberg神经网络进行了研究.通过构造适当的Lyapunov函数,利用不等式分析方法,引入多参数,得到了一系列解的一致有界性且最终有界性和全局指数稳定性的判别准则.  相似文献   

11.
In this paper, by using Liapunov’s second method, we establish some new results for stability and boundedness of solutions of nonlinear vector differential equations of third order. By constructing a Liapunov function, sufficient conditions for stability and boundedness of solutions of equations considered are obtained. Concerning to the subject, some explanatory examples are also given. Our results improve and include a result existing in the literature.  相似文献   

12.
In this paper, we give sufficient conditions to guarantee the asymptotic stability and boundedness of solutions to a kind of fourth-order functional differential equations with multiple retardations. By using the Lyapunov-Krasovskii functional approach, we establish two new results on the stability and boundedness of solutions, which include and improve some related results in the literature  相似文献   

13.
The stochastic difference equations with Volterra type linear and nonlinear main term are considered in the paper.Conditions on a.s. boundedness of the solutions,asymptotic stability,exponential stability,and stability with a speed which differs from the exponential,are obtained.A numerous examples are presented.  相似文献   

14.
差分方程解的稳定性、有界性及概周期解的存在性   总被引:1,自引:0,他引:1       下载免费PDF全文
作者通过Liapunov泛函建立了一类高维差分方程解一致稳定、一致渐近稳定及指数渐近稳定的充要条件. 此外, 作者还证明了解的一致渐近稳定性蕴含解的有界性, 同时也给出了概周期差分方程存在概周期解的一个充分条件.  相似文献   

15.
In this paper, we show the global boundedness and stability of solutions for prey-taxis model with handling and searching predators in a two-dimensional bounded domain with smooth boundary. First, entropy-like equations and boundedness criteria are derived, and it is proved that the system has a unique uniformly bounded global classical solution. In addition, we show that prey-only steady state is globally asymptotically stable if the predator is weak. The convergence rate of solutions to the steady states is derived in the paper.  相似文献   

16.
The dynamics of a predator-prey model with continuous threshold prey harvesting and prey refuge is studied. One central question is how harvesting and refuge could directly affect the dynamics of the ecosystem, such as the stability properties of some coexistence equilibria and periodic solutions. Theoretical and numerical methods are used to investigate boundedness of solutions, existence of bionomic equilibria, as well as the existence and stability properties of equilibrium points and periodic solutions. Several bifurcations are also studied.  相似文献   

17.
For the past few decades, the stability criteria for the stochastic differential delay equations (SDDEs) have been studied intensively. Most of these criteria can only be applied to delay equations where their coefficients are either linear or nonlinear but bounded by linear functions. Recently, the stability criterion for highly nonlinear hybrid stochastic differential equations is investigated in Fei et al. (2017). In this paper, we investigate a class of highly nonlinear hybrid stochastic integro-differential delay equations (SIDDEs). First, we establish the stability and boundedness of hybrid stochastic integro-differential delay equations. Then the delay-dependent criteria of the stability and boundedness of solutions to SIDDEs are studied. Finally, an illustrative example is provided.  相似文献   

18.
Semilinear time-variant functional-differential equations in a Banach space are considered. A solution estimate is derived. By that estimate, explicit conditions for boundedness of solutions and stability are established.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号