Existence of Positive Periodic Solutions for the Predator-Prey Difference System with Beddington-DeAngelis Functional Response and Time Delays

A nonautonomous predator-prey difference model with Beddington-DeAngelis functional response,diffusion,and time delays is investigated.The model consists of n competing preys and one predator,and the predator and one prey are confined to one patch.First,concepts and results concerning the continuation theorem of coincidence degree are summarized.Then,a system of algebraic equations is proved to have a unique solution.Finally.the sufficient conditions for the existence of a difference system are established.The result is substantiated through numerical simulation.     

一类含有时滞的脉冲微分方程的正周期解

研究了一类含有时滞的脉冲微分方程,在系数变号的情形下,利用锥上的不动点定理获得了其正ω-周期解的存在性结果.     

具有Holling Ⅱ类功能反应模型周期解的研究

通过对具有HollingⅡ类功能反应的3种群混合模型的研究,证明对于周期系统,在适当条件下有惟一的全局渐进稳定的正周期解.     

脉冲时滞细胞神经网络周期解的存在性和指数稳定性

研究了脉冲时滞神经网络周期解的存在性和全局指数稳定性问题。运用控制压缩原理和Lyapunov函数建立了几个确保系统周期解存在和稳定的充分条件。有助于设计和应用CNN型生物和人工神经网络。数值实例验证了结论的正确性。     

Global Solutions and Exponential Stability of Stochastic Functional Differential Equations with Infinite Delay

This paper proves that, under the local Lipschitz condition, the stochastic functional differential equations with infinite delay have global solutions without the linear growth condition. Furthermore, the pth moment exponential stability conditions are given. Finally, one example is presented to illustrate our theory.     

Bifurcations of Periodic Orbits for a Four-Dimensional System

Consider a four-dimensional system having a two-dimensional invariant surface. By analyzing the solutions of bifurcation equations, this paper studied the bifurcation phenomena of a k multiple closed orbit in the invariant surface. Sufficient conditions for the existence of periodic orbits generated by the k multiple closed orbit were given.     

非自治随机微分方程的均方伪概周期温和解

主要考虑Hilbert空间上非自治随机微分方程均方伪概周期解存在的唯一性.利用不动点定理并结合发展系统理论,给出了这类非自治随机微分方程均方伪概周期解唯一存在的充分条件.     

齿轮系统的周期运动及分岔特性

建立了包含时变啮合刚度、综合啮合误差和齿侧间隙等在内的齿轮传动系统非线性动力学模型.对模型进行了无量纲化处理,基于数值仿真,主要分析了时变啮合刚度和综合啮合误差对系统周期特性的影响.结果表明时变啮合刚度和综合啮合误差的改变使得系统的周期运动形式呈现多样化,随着参数值增大,系统的周期运动特性变得相对复杂.     

具有离散时滞的非局部单物种种群模型的行波解

研究了一类具有离散时滞的非局部单物种种群模型的行波解的存在性,证明了当时滞充分小时,方程具有连接2个平衡点的单调行波解,得到了一些新的结果.     

Banach空间中含有间断项的一阶周期边值问题整体解的存在唯一性

利用半序方法,只用上解或下解得到Banach空间中含有间断项的常微分方程一阶周期边值问题在[0,a]（a〉0）上整体解的两个存在唯一性结果,这两个结果是独立的新结论．