查询词典 comparison theorem

Under the most elementary conditions for backward stochastic differential equation introduced by Peng S., we put forward and prove a general converse comparison theorem.

在由彭实戈引入的倒向随机微分方程的最基本的条件下，提出并证明了一个一般的反比较定理。

In the forth chapter, by employing the comparison theorem in theory of difference equations together with pure analysis, we get sufficient conditions for permanence of a class of ratio-dependent discrete system.

第四章运用差分方程理论中的比较定理和纯分析的方法得到离散系统持久性的充分条件。

In this paper, we study the comparison theorem of backward doubly stochastic differ-ential equtions with continuous coefficient by Tanaka-Meyer formula.

利用Tanaka-Meyer公式研究了双重倒向随机微分方程在连续条件下的比较定理。

By applying the comparison theorem and some new analysis technique, some sufficient conditions which guarantee the permanence of the system are obtained. After that, by constructing a suitable Lyapunov function, sufficient conditions which ensure the global attractivity of the system are obtained.

利用差分方程的有关理论，使用与前面不同的分析方法，获得保证该系统永久持续生存的充分性条件；其后通过构造适当的差分Lyapunov函数，得到保证该系统全局吸引的充分性条件。

Rties of the system are researched by using the comparison theorem of impulsive ordinary differential equations and using the solutions of dominating inpulsive ordinary differential equation to control and estimate the solutions of the system.

利用脉冲常微分方程的比较定理以及利用相应的脉冲常微分方程的解控制和估计所讨论模型的解，研究了系统模型的解的渐近性质。

By using Floquet theory, Comparison theorem of impulsivedifferential equation and analytic method, we investigate the dynamics of thesystem in detail.

通过利用脉冲微分方程的Floquet理论和比较原理，证明了当脉冲周期小于某个临界值时，系统存在一个全局渐近稳定的害虫根除周期解，最后给出了系统持续生存的条件。3。

In this article, we discuss the solution ofbackward stochastic differential equation and the generalizes comparison theorem and concernedthe relation between g-Expection and the minimum expection.

本文主要讨论如上倒向随机微分方程的解的情况及相应的g-期望的性质以及其在数学金融方面的应用。

Based on Floquet theory and the comparison theorem of impulsive differential equation, the analysis of global asymptotic stability of the "infectionfree" periodic solution was given.

运用Floquet乘子理论和脉冲微分方程比较定理，证明了该周期解的全局渐近稳定性，并获得了系统一致持续生存的条件。

By integral in mean and comparison theorem, boundednesses of consumer population and resources, as well as a sufficient condition for population's weak persistent in mean are given when the environment is with a small capacity.

利用积分均值法和比较定理，给出消费者种群和资源量的有界性，以及环境容量较小情形下种群弱平均持续生存的充分条件。

Chapter 4 discusses the stability of a class of nonlinear impulsive partial differential equations. The main idea is translating the stability of the considered nonlinear impulsive partial differential equation into that of the corresponding linear impulsive ordinary differential equation via Gronwall-Bellman inequality with impulse on the basis of comparison theorem.

第四章基于比较定理，主要利用含脉冲的Gronwall-Bellman不等式初步讨论了脉冲偏微分系统的稳定性，将一类非线性脉冲偏微分方程的稳定性化归为线性脉冲常微分方程的稳定性，为将脉冲常微分方程稳定性的有关结论推广到脉冲偏微分方程提供了理论依据并奠定了基础。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。