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To our knowledge, this is the first work for the existence of periodic solutions for neutral systems by generalized Schaefer fixed point theorem of seperate contraction mapping.

第四章,讨论了两类依赖于参数的泛函微分系统,用锥上的Deimling不动点定理,证明了系统的正周期解的个数与参数的取值以及非线性项的渐近行为有关。

Firstly, by constructing the Lyapunov function with a special structure, a prior estimate is obtained. Secondly, with the help of Green\'s function, the original problem is transformed into an equivalent operator equation, and the fixed point theory of contraction mapping in a Banach space guarantees the existence and uniqueness of the global solution.

首先,构造具有特殊结构的Lyapunov函数,得到解的先验估计;其次,借助Green函数将原方程等价变换成算子方程,Banach压缩映射的不动点定理保证了全局解的存在唯一性;最后通过常微分方程的定解,证明了主要结论,即平凡解全局渐近稳定。

At the same time, by applying the continuous selection theorem and fixed point ...

同时,我们利用集值映像的连续选择定理和不动点定理,在拓扑矢量空间中建立了一类关于集值映像的拟平衡问题和广义拟平衡问题的平衡点的存在性定理,推广了某些相应的结果。

In this thesis, we define the notions of μ-semirings, A-semirings,*-μ-semirings and *-λ-semirings which extend the notions of inductive *-semirings. we also study the basic properties of these semirings and discuss the interrelation between them. Also, we discuss whether these semirings are closed for the construction of formal power series via a fixed point-theoretical viewpoint.

本文给出了归纳术*-半环及弱归纳*-半环概念的推广,即μ-半环、λ-半环、*-μ-半环以及*-λ-半环的定义;研究了这些半环的一些基本性质以及它们之间的相互关系;同时结合形式幂级数及不动点理论,讨论了这些半环关于形式幂级数构造的封闭性问题。

Perhaps as a result of this problematic economy, some unscrupulous players have taken to fashioning money scams, and in the most extreme cases, players have taken to farming and selling adena online for real-life cash--an activity that is against the game's end-user license agreement.

同样的几只怪物好几小时来赚金钱是必要的行为。在这种畸形的经济体制下,有些不正直的玩家就会动起歪脑筋想赚轻松钱,而在最极端的情形下,会有玩家专门打钱

Perhaps as a result of this problematic economy, some unscrupulous players have taken to fashioning money scams, and in the most extreme cases, players have taken to farming and selling adena online for real-life cash——an activity that is against the game's end-user license agreement.

在这种畸形的经济体制下,有些不正直的玩家就会动起歪脑筋想赚轻松钱,而在最极端的情形下,会有玩家专门打钱,并且出卖在线的虚拟天币来赚取真实世界的现金——这是一种违反了游戏使用者授权合约的行为。

We consider the existence of positive solutions of second order impulsive boundary value problems by constructing the appropriate homotopy operator and applying the theory of fixed point index in cones. our results contain the conclusion when f ≥ 0 and J_k = 0([6]). Secondly, we discuss multiple positive solutions of the following impulsive boundary

其次,我们在§2.2中讨论了下面的脉冲微分边值问题多正解的存在性在这一部分的讨论中,利用不动点指数理论,在f既非超线性又非次线性的情形下,得到了两个正解的存在性定理,把文[7]的结果推广到脉冲微分边值

Is the following: the presence of PLC jerkiness means that the concept of a potential energy function is not really valid, since the requirement for its definition is that a closed integral of the force with respect to displacement must vanish.

下列各项是吗:PLC 急动的出现意谓潜在的能源功能的观念不真的有效,自需求以后因为它的定义是力量的一个关闭整体有关於换置一定消失。

Furthermore, when the system is a periodic system, sufficient conditions are obtained that guarantee the existence, uniqueness and global attractivity of the positive periodic solution by applying the Brouwer fixed theorem and the method of constructing Liapunov function.

利用比较原理给出了系统一致持久性的充分条件;当系统是周期系统时,应用Brouwer不动点原理和构造Liapunov函数的方法给出其存在惟一且全局吸引的ω-周期正解的充分条件,并通过实例验证了文中定理条件的可实现性。

The forth algorithm is the same as the third one with an addition of finite termination criteria. Although the latter two algorithms have only linear rate of convergence, they are especially suitable for large-scale and sparse problems, with features of simple formula, small storage, sparsity preservation and easy implementation.

前者借助NCP函数把互补问题转化为等价的非光滑方程组,再用带参数的光滑方程组近似这些非光滑方程组,最后用牛顿型方法求解所得到的光滑方程组,希望通过光滑参数趋于零得到原来互补问题的解;后者基于等价不动点格式,构造了一个光滑迭代算法和一个具有有限终止性质的算法,虽然这种迭代算法仅有线性收敛速度,但由于其格式简单、存储量小、保稀疏性、非常易于计算机实现等特点,故较适用于求解大规模稀疏问题。

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No clear conclusions can be made about the predictie alidity of specific measures, they found, except for criteria for the underuse of drugs for cardioascular disease.

除了心血管病不合理用药标准外,对于特定评价方法的预测效度没有明确的结论。

The third and last is that almost all of them, being infinite in number, have been impostures, and by idle and crafty brains merely contrived and feigned after the event past.

第三、即最后一点是:几乎所有这些不胜枚举的预言都是欺人之谈,都是在事件过后由无聊而狡猾的脑筋推测与凭空捏造的。

This horse had the power of speech and was sure to win all the car riageraces in ece.

这匹马能够说话,在希腊的所有马拉车大赛中必定独占鳌头。