不动性

The existence of periodic solutions to the second order ordinary differential equation in Banach space is discussed.

本文利用半序理论，非紧性测度，凝聚映射的拓扑度，不动点定理及锥上不动点指数理论，讨论了Banach空间E中二阶常微分方程周期边值问题解的存在性，主要结果有一。

Key words:the three dimensional contact problem with friction;nonlinearcomplementary;nonsmooth equations;generalized derivative;nonsmoothmethod;convergence analysis

给出了三维摩擦接触问题的一个非光滑混合不动点模型及算法，这种算法无须求导数，没有引进任何额外变量，并且可视为一种三维摩擦接触问题的迭代法，利用非光滑分析和不动点理论对算法做了分析，给出了算法的不动点理论背景及算法的理论分析，为模型解的存在性及算法收敛性提供分析依据，最后给出了相应的数值算例。

For astronomy, this was the immobility of the earth; in history, the independence of personality—free will.

在天文学上是地球的不动性；在历史学上是个人的独立性——自由意志。

Negative equity exacerbates immobility because people are reluctant to move if it means selling at a loss.

负资产恶化了这种不动性，因为如果搬家意味着赔本出售的话，人们是不愿意搬的。

In chapter 4, we first discussed the existence of multiple positive solutions of the second order nonsingular Dirichlet boundary value problem for impulsive differential equations by using the fixed point index theorem in cones . Next, we presented some new existence results for singular boundary value problems for second order impulsive differential equations by using fixed point theorem in cones and Leray-Schauder nonlinear alternative theorem.

第四章我们首先利用锥不动点定理讨论了非奇异二阶脉冲微分方程狄利克莱边值问题多个正解的存在性；其次我们用锥不动点定理和Leray-Schauder型非线性抉择定理，讨论了奇异二阶脉冲微分方程狄利克莱边值问题一个及多个正解的存在性。

In chapter one,the backgrounds and current situation of operator theory in Banach space are introduced and the preliminaries of Banach space are given.In chapter two,we study the existence and uniqueness of fixed point for decreasing strict-set-contraction operator in product space.Under the weak continuous condition,we obtain the existence and uniqueness of fixed point for decreasing operator and we give an application of these results; In chapter three,we get several positive fixed point theorems of decreasing operator and the existence and uniqueness theorems of positive fixed point for operator C=A+B,C=D-A in real Banach space where the order is decided by a normal cone; In chapter four,we obtained some existence and uniqueness theorems of fixed point for some mixed monotone operators in semi-ordered Banach space.

在第一章中，主要介绍了半序Banach空间非线性算子的研究历史背景、现状以及半序Banach空间中的预备知识；在第二章中，我们利用半序方法研究了Banach乘积空间中严格集压缩减算子不动点存在唯一性问题，在弱连续的条件下，得到了不动点的存在唯一性和迭代收敛性，同时，给出了它们的一些应用；在第三章中，我们建立了拟弱连续减算子的正不动点定理，并证明了算子C=A+B，C=D-A的正不动点存在唯一性定理；在第四章中，我们得到了半序Banach空间中混合单调算子的不动点存在性及唯一性定理。

By properties of a real function, fixed points problem on two complete metric spaces are discussed.The result generalizes corresponding result of Fisher.Moreover, this result provides a general convergence rate estimate. Meanwhile, we discuss the existence of fixed point on two normed linear spaces under the condition of weak topology, and we obtain a new fixed point theorem.

利用实函数性质，讨论了两个不同度量空间中两个映象乘积的不动点问题，推广了Fisher的主要结果，并给了出逼近不动点的敛速估计；同时，在弱拓扑的意义下，利用分析的方法，讨论了赋范空间中有关映象不动点的存在性，得到一个新的不动点定理。

In this paper, by Zorn lemma and cone theory, the existence of the random fixed points for discontinuous increasing operators was discussed and the existence theorems of random fixed point were obtained.

本文利用Zorn引理和锥理论，研究了不连续随机算子的随机不动点的存在性问题，得到了几个有关不连续随机增算子的随机不动点定理。

The results of respiratory mechanics, homodynamic mechanics,aterial blood gaS, and inflaInInatory factors [TNF- Q, IL-l fl, IL-6,IL-l0, and adrenomedulin] which detected in animal serumand bronchial alveolar lavage fluid obtained from tiP lObe,heart lobe, and diaPhragIn lobe of right lung seParate1y in the mongreldogs were measured before and after lung injury (including receivinglung protective ventilation).

本实验证明了 loS肺内／肺外不同源性 ARDS动物模型的差异性，而且AnDS的肺部病变存在不均一性和多形性的特点，对有关ARDS进行性低氧血症的发生机制提出了肺动静脉可能存在类似于右一左分流的肺内分流现象，以及因肺内分流而导致严重通气／血流比例失调的解释。发现小潮气十PEEP通气对肺内源性 ARDS疗效不佳，而俯卧位＋小潮气－I－ PEEP通气对肺内／肺外不同源性ARDS均有较好的疗效。。

Analysis of the relation between serotonin and its receptor in OFC and stress depression(n=8):(1) Microinjection of 5-HT into OFC significantly shortened immobility time, dejections have no great changes; though locomotor、 grooming activitives have little increased, they have no significant difference; rearing scores greatly reduced;(2)microinjection of pCPA into OFC significantly prolong immobility time, dejections have no great changes; locomotor、rearing activities are greatly reduced, but have no significant effect on grooming activity receding;(3)compared with the effect of 5-HT alone, microinjection of spiperone combined with 5-HT into OFC, significantly prolong immobility time and greatly reduced dejections; locomotor、 rearing、 grooming activities are all reduced, but have no significant differences.

眶额叶区5-羟色胺(5-hydroxytryptamine，5-HT)及其受体与应激性抑郁症的关系(n=8)：(1)注射5-HT后，大鼠FST不动时间明显降低(P＜0.05)，粪便数量变化不显著(p＞0.05)，OFT水平运动、修饰得分虽均有升高，但无显著性差异(P＞0.05)，垂直活动显著降低(P＜0.05)；(2)注射色氨酸羟化酶抑制剂-对氯苯丙氨酸后，FST不动时间明显增加(P＜0.01)，粪便数量无显著性变化(p＞0.05)，OFT水平、垂直运动显著减少(P＜0.05)，修饰降低但无显著差异(P＞0.05)；(3)与5-HT组比较，先注射5-HT_(1A)受体拮抗剂后再注射5-HT，FST中的不动时间明显增加(P＜0.01)，粪便数量显著减少(p＜0.01)，但OFT水平、垂直、修饰活动均有所减少，却无显著性差异(P＞0.05)。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。