查询词典 order bounded set

The aim of this paper is to study the existence of solution and multiply results for quasilinear elliptic system in bounded domain and the whole space, semilinear elliptic equation in two dimension space, second order nonlinear difference equation by variational methods. The main results are listed in the following:1. An abstract compactness theorem is proved, and then, under weak Boccardo and De.

本文主要利用变分法，分别研究了有界区域和全空间上拟线性椭圆型方程组、二维空间上半线性椭圆型方程和二阶非线性差分方程问题的解与多重解的存在性，具体内容如下： 1。

A sufficient condition for the oscillation of bounded solutions of a kind of second order neutral differential difference equation s established.

建立了一类二阶中立型微分差分方程有界解振动的充分条件，且当变系数都是常数时，该条件也是必要的；同时，根据该方程的"极限"方程建立了它自身的一个有界振动准则。

In this paper, the authors consider the even-order neutral difference equations with continuous arguments. By using Lebesgue' dominated convergence theorem, a necessary and sufficient condition for the existence of eventually positive and bounded solutions is obtained.

研究一类具连续变量偶数阶中立型时滞差分方程，利用Lebesgue控制收敛定理给出这类方程存在最终有界正解的一个充分必要条件，得到相应新的比较定理。

In addition, in order to extend existing methods on bounded domains to unbounded domains, a simple practical approach is proposed by higher continuous differentiable homeomorphism.

另外，利用高阶连续可微的同胚映射，给出了一种实用的转化方法，将现有的有界域上的区间算法推广到无界域上。

The works like The meaning of life, loneliness, Spring in Beiwang Yuan, He Dajie's messuage, Fellow countyman—Kang Tiangang and The old maid, were all the reflection of Luo Binji's thinking towards the real gray life. In order to further probe into the origin of gray life, in the works of The Event of 1944 and The statement of an honest person , Luo Binji extended the criticize to the dark society. Facing the dark reality, Because of love showed the history bounded to oppose.

生活的意义》《寂寞》《北望园的春天》《贺大杰的家宅》《乡亲——康天刚》《老女仆》等等作品都反映了骆宾基对现实灰色人生的思索；进一步探索灰色人生的根源，《一九四四年事件》《一个坦白人的自述》等作品中，骆宾基展开了对黑暗社会现实的深刻批判；面对黑暗现实，《由于爱》则反映了奋起反抗的历史必然。

In this paper,based on an improved orthogonal expansion in an clement , using the new idea of Ref.[3] ,a new error expression of n-degree Hermite finite element approximation to one-dimensional 4-degrec 2-point bounded problem and 2-degree ordinary differential problem, and then optimal order superconvergence for their first derivatives is obtained.

本文针对在改进的单元正交性估计的基础上，利用文[3]提出的新想法，得到一维四阶两点边值问题和二阶常微初值问题的n次赫米特有限元u_h∈C~1的新误差估计式，以及导数误差的最佳阶超收敛，并且两者有相同的超收敛结果。

For compact hypersurfaces and highcodimension compact submanifolds initial data respectively, we prove that the flow hasa smooth solution for all time under almost optimal conditions. Those conditions arethat the second fundamental form on the initial submanifolds is not too large, the exter-nal force field, with its any order derivatives, is bounded, and the field is convex with itseigenvalues satisfying a pinch inequality.

我们分别对紧超曲面初值和高余维紧子流形初值证明了当初始曲率比较小，并且外力场除了要各阶导数一致有界外，还要满足凸性条件以及特征值的一个pinch条件时，这种热流的光滑解长时间存在。

In chapter 3, we establish some partial differential inequalities on bounded starlike circlar domains and the unit ball of Banach norm in C〓. Then by using these inequalities, we can get two sufficient conditions for almost starlike mappings of order α.

第三章通过在C〓中的有界星形圆形域和复Banach范数之下的单位球上建立一些微分不等式，给出了α次的殆星映射的两个充分判别条件。

In this article, We consider two important models for second order sublinear differential equations: the existence of infinitely many subharmonic solutions for Duffing equation with bounded restore force and for the sublinear impact oscillator.

本文考虑被数学和其他科学、工程领域的研究人员广为关注的两个重要的二阶次线性微分方程模型：具有有界恢复力的Duffing方程和次线性碰撞振子的无穷多个次调和解的存在性。

In this article, We consider two important models for second order sublinear differential equations: the existence of infinitely many subharmonic solutions for Duffing equation with bounded restore force and for the sublinear impact oscillator. They have attracted lots of researchers attention in mathematical, other scientific and engineering fields.

本文考虑被数学和其他科学、工程领域的研究人员广为关注的两个重要的二阶次线性微分方程模型：具有有界恢复力的Duffing方程和次线性碰撞振子的无穷多个次调和解的存在性。

Anna: No, I've got a hangover.

不是，我昨晚宿醉了。

We head into the mountains in Su's new Land Cruiser, stop for lunch at a scenic restaurant and then hang around drinking beer and eating fruit as two of his employees attempt to lure the birds with a tape recording of the fowl's mating call.

我们坐上苏的巡逻车向山顶出发，在一家风景优美的餐馆吃了中饭。然后我们喝着啤酒吃着水果四处逛。