比较原理

This paper consists of three parts:We first consider the non-autonomous predator-prey system with both Beddirigton-DeAngelis functional response and dispersion. By using comparison theorem of differential equation, we study the permanance of the system. After that, by constructing suitable Lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system.

本文研究三方面的内容：第一部分考虑具有扩散和Beddington—DeAngelis功能反应的捕食-食饵系统，利用微分方程比较原理得到该系统一致持续生存的条件；通过构造适当的Lyapunov函数得到了该系统存在全局渐近稳定概周期解的充分条件。

In this paper,the asymptotic property for two kinds of ecological systems and oscillation for solutions of a neutral differential equations is studied by employing differential inequalities and using eigenvalue analysis,iterative algorithm,induction and comparison theorem etc.Here, the system\'s asymptotic property includes the uniform persistence,the global attractability of the solutions,the asmptotic stability of the solutions and the oscillation of solutions.

本文利用微分不等式、特征根分析法、迭代法、归纳法及比较原理等方法和理论，研究了两类生态模型解的渐近性和一类脉冲中立型微分方程解的振动性，其中包括模型的一致持久生存性，正平衡态的全局吸引性、局部与全局渐近稳定性以及解的振动性。

The asymptoticbehavior of two ecological systems and the unconditionally stability and oscillations in kinds of 4-order delay difference equations are investigated by using analysis method, constructing Lyapunovfunctions, the logarithmic norm, charateristic roots theory and the bifurcation theory. Here, theasymptotic properity includes the uniform persistence, the global attractability of the solutions,the asymptotic stability of the positive solution local or global and the oscillations of solutions.

本文利用定性分析的方法、比较原理、特征值分析法、对数范数、构造Lyapunov函数及分支理论等方法和理论，研究了两类生态模型解的渐近性及一类四阶时滞微分方程解的无条件稳定性，其中包含模型的一致持久生存性、正平衡态的全局吸引性、局部和全局渐近性以及解的振动性等问题。

Some priori estimates, Turing instability and global stability of positive constant steady-state solution are obtained by comparison principle, operator spectrum theory and Turing theory.

利用比较原理，算子谱理论及Turing理论，得到了正解的一些先验估计，正常数平衡态解的Turing不稳定性及正常数平衡态解的一致渐近稳定性。

In Chapter 2, the comparison theorem of ordinary differential equations is generalized to neutral functional differential equations.

第二章 将常微分方程的比较原理推广到中立型泛函微分方程。

In Chapter 2,the comparison theorem of ordinary differential equations isgeneralized to neutral functional differential equations.

第二章 将常微分方程的比较原理推广到中立型泛函微分方程。

To solve this problem, upper and lower method and comparison lemma are introduced.

这里涉及到两个非常重要的引理，上下解原理和半线性椭圆型方程的比较原理。

Furthermore, when the system is a periodic system, sufficient conditions are obtained that guarantee the existence, uniqueness and global attractivity of the positive periodic solution by applying the Brouwer fixed theorem and the method of constructing Liapunov function.

利用比较原理给出了系统一致持久性的充分条件；当系统是周期系统时，应用Brouwer不动点原理和构造Liapunov函数的方法给出其存在惟一且全局吸引的ω-周期正解的充分条件，并通过实例验证了文中定理条件的可实现性。

In this project, the stability of a class of complex dynamical system with infinite dimensions is investigated. The dynamical systems are described by the infinite differential equations with time delays. The comparison principle of the stability for the infinite dimension system is obtained.

本项目研究一类以无限个具有时间滞后的常微分方程关联而成的复杂动力系统的稳定性，建立了这类无限维系统中的比较原理，得到了无限维比较系统的稳定性条件和比较系统的集结方法，建立了无限维复杂时滞系统稳定性分析的矢量Liapunov方法。

Based on multi-stage comparison, a new theory incorporating Minimum Comparator Number Algorithm and Power-Conversion Rate Merit Model is proposed, which releases the power dissipation from limitation of comparators, sub-DACs and residual amplifiers in high-speed high-resolution ADCs.

摘要该文依据多级比较原理，建立了ADC功耗-速率优值模型。基于比较器数目最优算法，推导出多级ADC最优比较器数目，并提出多级ADC功耗-速率优值参数，从而得到可实现小功耗、高转换速率的多级ADC优化结构。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。