查询词典 comparison theorem

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。

Instead of Gronwall\'s inequality,the non-linear Bihari inequality is crutial in dealing with the non-Lipschitz equations.Moreover,we emphasize that the dominating functions in non-Lipschitz conditions always satisfy concavity and some non-integrability near zero.The concavity is for using Jensen\'s inequality.Because of the non-integrability near zero,we can apply the comparison theorem of ordinary differential equations together with Bihari\'s inequality to yield many results.

3作为Gronwall不等式的推广，Bihari不等式在处理具有非Lipschitz系数的方程时不可或缺；同时应当注意，非Lipschitz条件中所涉及的控制函数总是满足凹性和某种零点处的不可积性：凹性是为了利用Jensen不等式；零点处的不可积性使得Bihari不等式与常微分方程中的比较定理结合在一起从而完成很多结论的证明。

Firstly, a comparison theorem is proved.

首先，证明了比较定理。

We also give one kind of multi-dimensional comparison theorem of Y.

我们先运用与EL.Karoui在[1]中使用的类似的方法得到了单边界情形K的多维比较定理。

And the comparison theorem of the optimal cost of descriptor systems is given.

并给出广义系统的最优代价比较定理。

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。

This paper gives a proof of a comparison theorem on the viscosity solution of HJB Equation.

证明了与随机控制问题有关的动态规划方程粘性解的比较定理。

We use comparison theorem and a new method to analysis the problem of persistence and extinction.

消费者种群的长期影响，利用比较定理及一种全新的方法对自治Leslie系统给出了种群弱持续生存和灭绝的条件；对拟非自治系统给出了种群弱持续生存和灭绝的阈值。

This paper is in the comparison theorem of Sturm-Liouville problem, based on the type of separation is given.

该文讨论了一类分离边界条件下的Sturm-Liouville特征值问题，就不同的势函数q，分别在右定和左定情形下建立了特征值的比较定理。

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。

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。