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With the method of upper and lower solutions,its associated monotone iterations and the fixed point theorem,the coexistence solutions to a strongly coupled elliptic system are studied.

采用上下解及相应的单调迭代序列的方法,结合Schauder不动点定理,研究带Dirichlet边界条件的两种群的互惠模型强耦合问题共存解。

According to the theorem Euler characteristic is equal to 2 on the sphere, it is show that this maps has at least one fixed point,that is to say the vector field has at least one singular point.

在地壳的每一点,由于受力定义了整个地壳上的向量场,然后利用同胚,将其转化为球面上的自映射,并根据球面的欧拉示性数等于2,说明该自映射至少有一个不动点,即向量场至少有一个奇点。

The father had long ago taken up his bundle and hidden himself away with it, when the women who had tended the bundle while it lay on the base of the fountain, sat there watching the running of the water and the rolling of the Fancy Ball--when the one woman who had stood conspicuous, knitting, still knitted on with the steadfastness of Fate.

那父亲早带着他的包裹躲得不见了。刚才曾照顾过躺在泉边的包裹的妇女们在泉边坐了下来,望着泉水汩汩流过,也望着化装舞会隆隆滚过。刚才惹眼地站在那儿织毛线的妇女还在织着,像个命运女神一样屹立不动。

In the solution of the problems in algebraic equation, differential equation and integral equation, we usually resort the sotution of equation to the fixed point of mapping in metric space. The contraction mapping principle can be used to solve many problems of the existence and uniqueness of equation solution.

在代数方程、微分方程和积分方程的求解问题中,通常把所求的解归结为度量空间中映射的不动点,然后应用压缩映象原理来统一处理许多方程解的存在性和唯一性问题。

In chapter one, by using Krasnoselskii s fixed point theorem, necessary and sufficient c...

第一章讨论了一类带阻尼项的高阶非线性中立型差分方程正解的存在性,利用Krasnoselskii不动点定理,得到了非振动解存在的若干充分必要条件,这些结果改进和推广了一些已知的结果。

I asa natural extension of the classical Newton method,based on a generalizedKakutani fixed point theorem,is presented that is well-defined.

方法I是经典牛顿法的自然推广,它的适定性是基于一个广义的Kakutani不动点定理得到的。

As applications of our results,in section 3.3,we investigate the existence of periodic solutions and golbal exponential stability of some classes of impulsive cellular neural networks with time delays.

第四章首先使用Krasnoselskill锥不动点定理研究了一类一阶奇异脉冲泛函微分方程的周期边值问题,得到了这类奇异边值问题正解存在性的充分条件,我们的结果允许右端函数f中关于u是奇异的。

In Chapter 1,we introduce the related results of fix points of group actions on 4-manifolds theory and the main achievements in classification of 4-manifold by some mathematicians.

第一章首先介绍了4-流形在群作用下不动点理论的相关结果,同时介绍了国内外学者在4-流形的拓扑分类方面的研究成果,并在最后介绍了本文的主要研究工作。

In this paper,we determine J_~(2~k+2v)by constructing ingeniously indecomposable manifolds M,which can be generators in MO_*,and defining appropriate(Z_2)~k-action on M.

在本文中,我们通过巧妙地构造流形M,使其所在的上协边类不可分解,从而可以作为上协边环MO_*的生成元,并在M上定义适当的(Z_2)~k作用使其不动点集F具有常余维数r,决定了未定向上协边环MO_*的理想J_~(2~k+2v)。

It is pointed out that the adaptive controller based on Lyapunov stability theory completes the integration of the square term caused by the integration of the multiplication term, and the integration of the square term is exactly the source of the slow-drift and its instability.

本文用均值平衡位置内摄动分析法,分析了有正态零均值噪音及有未建模动态时MRAC 的慢漂移。指出用Ляцунов稳定性理论或超稳定性理论设计的自适应控制器中,完成相乘项和平方项的积分,是MRAC慢漂移及慢漂移不稳定的根源。

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The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应,而且减少跟风的可能性。

The new PS20 solar power tower collected sunlight through mirrors known as "heliostats" to produce steam that is converted into electricity by a turbine in Sanlucar la Mayor, Spain, Wednesday.

聚光:照片上是建在西班牙桑路卡拉马尤城的一座新型PS20塔式太阳能电站。被称为&日光反射装置&的镜子将太阳光反射到主塔,然后用聚集的热量产生蒸汽进而通过涡轮机转化为电力