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。

Having discussed Wallis'interpolation in great detail, the paper shows that Wallis mainly relied on incomplete induction and analogical inference to obtain his results, an approach which was key to the creation of many important algorithms during the considered period. A comparison between Wallis'method and previous interpolations is then made and the influence of Wallis' thinking style embodied in his interpolation on Newton's invention of binomial theorem is clearly revealed.

通过考察沃里斯的插值过程，指出沃里斯插值法完全是借助于不完全归纳和类比推理得到的，并与过去的插值法做了比较，最后分析了沃里斯插值法对牛顿发明二项式定理的影响。

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。

As a dominant party,CPC government should play a guardian,supervisee and guarantee role to overcome all the difficulties in the development of charitable cause and bring it into full play in the establishment of harmonious society on policies and regulations basis.

在中国共产党的文献中第一次把发展慈善事业提到&最广泛最充分地调动一切积极因素，不断提高构建社会主义和谐社会的能力&的高度来认识。近年来，社会学界对慈善事业的理论专著发表较多，有鉴于此，笔者不揣浅陋，谈谈自己的认识和见解。

Flow through the land, the land of the scale of operation allows the effectiveness of the land may be raised.

通过土地的流转，土地的规模经营可以让土地的效益得到提升。