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In chapter 6, we discussed the wavefront solution of a kind of lattice differential equation which derives from diverse fields. We obtained the wavefront solution by using sup-subsolution iteration when the coupled functions are quasimonotone, and by applying Schauder fixed point theorem, we also obtained the wavefront solution when the coupled functions have a different quasimonotone property.

在第六章中,我们对一类从实际问题中抽象出来的二阶时滞格微分方程的行波解进行了讨论,用单调迭代的方法讨论了耦合函数具有拟单调性时行波解的存在性,用不动点的方法讨论了耦合函数具有指数拟单调性时行波解的存在性。

Chapter 2 discuss firstly the local existence of solutions for a class of abstract functionalintegro-differential equations with unbounded delay by Schauder's fixed point theorem, then byintroducing an inequality condition and applying the continuity property of solutions it obtainsthe global existence of the solutions.

第二章先利用Schauder不动点定理讨论一类具有无限时滞抽象泛函积分微分方程解的局部存在性,然后引入一不等式条件并利用解的延拓性质获得了解的整体存在性

The existence theorem of generalized weak efficient solutions with respect to variable, cone for a linear G〓teaux differentiable mapping is proved with set valued mapping fixed-point theorem and the relation between a vector optimization and a variational inequality problem. The existence of weak efficient solutions for multi-objective convex vector optimization is characterized.

建立映射在线性G〓teaux可微条件下关于可变锥的广义弱有效解的存在性及多目标凸向量优化问题在G〓teaux可微条件下弱有效解的特征,利用集值映射不动点定理及向量优化与变分不等式的关系证明线性G〓teaux可微锥凸映射关于可变锥的广义弱有效解的存在性定理。

This paper deals with a class of singular Positone boundary value problems.

对一类具有奇性Positone边界值问题进行了研究,利用非线性二择一不动点定理建立了问题正解的3个存在性原则。

Using the asymptotically compact theory of Anselone' and Stepleman' theorem, the existence, the unicity , the convergence and the error estimate with O(h3) of the discrete equations are shown....

并借助Anselone的渐近紧收敛理论和Stepleman定理,证明了离散方程组的解存在性、唯一性、收敛性和精度阶O(h~3)。使用Ostrowski的不动点定理,提供了三阶收敛的迭代法。

Because of their high degree of unsaturation, they are less resistant to oxidation than other animal or vegetable oils.

因为它们的高度不饱和性,它们比其它动植物油抗氧化性弱。

InSection 2,we give several sufficient conditions for the existence of one solution,multiplesolutions and infinitely many solutions of the Sturm-Liouville bvps via the generalizedpolar coordinates.Then in Section 3,the existence of positive solutions are proved undersuperlinearity,sublinearity and many other conditions by a fixed point theorem in cones.Our results have generalized those in many articles.A detailed discussion of periodic solu-tions of a kind of functional differential equations with high-order Laplacian-like operatorcan be found in Section 4 and this subject has not been studied before.

在第二节,我们定义了一种新的坐标变换-广义极坐标,并利用它讨论了p-Laplacian算子和Laplacian-型算子的Sturm-Liouville边值问题,分别得到了存在一个解、多个解、无穷多个解的多个充分条件;第三节研究p-Laplacian算子的Sturm-Liouville边值问题正解的存在性与多重性,采用的是锥上的不动点定理,全面推广了这一方面已有的结果;对目前研究较少的高维Laplacian-型算子及带有Laplacian-型算子的泛函微分方程的周期解问题,我们在第四节做了一些研究,这也是拓扑方法的一个应用。

Among pathogens , the most common pathogens associated with VAP were Pseudomonas aeruginosa ( 3013 %), Acinetobacter baumanii (1115 %), Klebsiella pneumoniae ( 1017 %), Escherichia coli ( 716 %) and S taphylococcus aureus ( 618 %). Their multiple drug2resistance to antibiotics was serious. Drug sensitivity tests indicated that the GNB had lower drug2 resistance to such antibiotics as imipenem , amikacin , piperacillin/ tazobactam , ceftazidime , cefepime , cefoperazone/sulbactam , ciprofloxacin and ticarcillin/ clavulanate. Polymicrobial pathogens were more isolated in late2onset VAP than in early2onset VAP.

结果 共检出致病菌383 株,革兰阴性细菌占8411 %,其中非发菌占5114 %,肠杆菌科占3216 %,革兰阳性球菌占1218 %,其中MRSA和MRSE 占615 %,真菌占311 %;前5 位致病菌分别为铜绿假单胞菌(3013 %)、鲍氏不动杆菌(1115 %)、肺炎克雷伯菌(1017 %)、大肠埃希菌(716 %)、金黄色葡萄球菌(618 %)等;药敏结果显示这几类菌株的多重耐药现象严重,较为敏感的抗菌药物有亚胺培南/西司他丁、阿米卡星、哌拉西林/他唑巴坦、头孢他啶、头孢吡肟、头孢哌酮/舒巴坦、环丙沙星及替卡西林/克拉维酸等,革兰阳性细菌均对万古霉素敏感;迟发性VAP 的混合培养比例显著高于早发性VAP。

In chapter 2, By combining the theory of exponential dichotomies of linear system and the method of functional analysis, some sufficient conditions that guarantee the existence and uniqueness of periodic solution of the systems are obtained.

第四章,考虑具有无穷时滞的非线性积分微分方程概周期解的存在性和唯一性问题,利用矩阵测度和不动点方法获得了一类方程的概周期解的存在性与唯一性的充分条件。

When the modified system collapses to a stable equilibrium or periodic oscillation, the existence of generalized synchronization can be converted to the problem of compression fixed point under certain conditions. Strict theoretical proofs are given to the exponential attractive property of generalized synchronization manifold.

即在响应系统的修正方程在具有渐近稳定平衡点或渐近稳定周期轨道的情况下,满足一定的条件,可将广义同步化流形存在性问题转化为Lipschitz函数族的压缩不动点问题,理论上严格证明了该广义同步化流形的指数吸引性。

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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。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。