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However, methods and references for difference equation are relatively less. The new method proposed in this paper transfer the complex boundary value problem into the existence and uniqueness of the solution of the linear equations. For linear case , we obtained the necessary and sufficient conditions for the existence and uniqueness of the solution for the BVP; For the nonlinear case ,we got a series of new sufficient conditions by using contraction mapping theory and cone theory .

而差分方程边值问题的研究方法和文献还很少,文中新的研究差分方程边值问题的方法是将复杂的边值问题求解转化为代数理论中的线性方程组解的存在和存在唯一问题;对线性情形,较容易地获得了边值问题的解存在以及唯一的充分必要条件,而对非线性情形,则通过压缩原理和锥理论等各种不动点定理,获得了一系列新的充分条件。

The second section: Under the conditions of nonlinear boundary controbility, we consider the initial boundary value problem of Camassa—Holm equations with dissipative. By using the contractive mapping fixed point theorem and a priori estimates, the existence of global smooth solution, global attractor in H〓, time periodic solution or almost-periodic solution and the global exponential stability are proved.

第二部分:在非线性控制边界条件之下,对于带耗散项的Camassa—Holm方程的初边值问题,用压缩映射不动点原理及先验估计方法,证明了整体光滑解的存在性、整体解的指数稳定性、H〓空间中整体吸引子的存在性以及时间周期解和殆时间周期解的存在性。

The main work and innovation1 In general , a image compression method has different effect to different image . Some are fit for image which has much high frequency . Some are fit for image which has much low frequency .This paper analysis the applicability of fractal algorithm . In this dissertation , an improved algorithum is given . The basic algorithum without eight change and the joint use of quantitative coding , The compression ratio and PSNR can be adjusted , and it can get more quickly speed of coding .2 To a group of exact fractal code , the decoding image can be any resolution .With this characteristic ,choose the proper domain block and range block,this paper get an algorithum which can get higher decoding PSNR and speed than the basic fractal algorithum.3 Give a new method to calculate the scale factor . The calculation of basic algorithum is complex and enormous . The factor of scale is an important variable of the basic algorithm. Now there are two methods to calculate the factor of scale .A new method was given to calculate the factor of scale. The calculation load and complexity are reduced by the new method. Compared with the basic algorithm , the method can reduce coding time.4 The basic fractal algorithum is based on the Collage theorem and contraction mapping theorem . A mathematic model based on basic fractal algorithum is given .

本文的主要工作及创新点主要包括以下几点:1一般情况下,一种图像压缩的方法对不同特点的图像,压缩效果会有所不同,本文利用分形压缩编码对不同特点的图像进行编码,分析了分形编码对不同图像的编码适用性,利用去掉8种变换的分形编码算法与简单的均匀量化编码方案相结合,得到了一种可以调节压缩比与解码质量的分形编码方案,该提高编码速度6倍以上。2分形编码的特点之一是分形解码的分辨率无关性,即对于一组分形编码可以将其解码到任意分辨率下,本文利用分形编码的这一特点,结合不同的量化编码方案,选择合适的定义域块与值域块及适当的编解码分辨率,得到了一种提高解码质量,编码速度提高12倍以上的加速算法。3比例因子是基本分形算法中的一个重要变量,目前有两种计算比例因子的方法,文中给出了一种新的求比例因子的方法,该方法简化了求比例因子的计算,从整体上减小了基本分形算法的计算量,简化了算法4分形压缩的数学基础是不动点定理与拼贴定理,本文根据基本的自动分形编码方法,建立数学模型对其进行推导,得到了用普通数学的极限理论解释分形编码的数学表达式,从而对由基本分形编码得到的解码图像中的像素点的值给出了确定的表达式。

As a result, somebody's house is marketable.

这样做的结果是,好端端的房子就是卖不动

Markham blew his whistle; the dogs did not move.

马可罕吹响他的哨子;狗不动了。

As a application of the above results, some minimax inequalities and saddle point theorems can be obtained. In addition, fixed point theorems and section theorems, maximal element theorems and the existence theorems of equilibrium for abstract economies can also be discussed.

作为应用,可以得到L-凸空间中极大极小不等式和鞍点定理;进一步,还可以探讨不动点定理和截口定理,极大元定理和抽象经济的平衡存在性等问题。

The existence of the minimal and maximal fixed points for order preserving set-valued operators on semi-ordered sets and semi-ordered topological spaces was analyzed.

讨论了半序集和半序拓扑空间中保序集值算子的最小与最大不动点的存在性。

The meadow mouse has slept in his 5snug gallery in the sod, the owl has sat in a hollow tree in the depth of the swamp, the rabbit, the squirrel, and the fox have all been housed.

田鼠已经舒舒服服地在地底下的楼房中睡着了,猫头鹰安坐在沼地深处一棵空心树里面,兔子、松鼠、狐狸都躲在家里安居不动

For a time,he lay quiescentHerman Melville.

过了一会儿,他躺在那里不动

By extending the method of the perturbation control applied to 1-D systems to 2-D discrete dynamical systems, we study its control on spatial chaos in the sense of space.

空间混沌的参数微扰控制将一维系统的参数微扰控制拓展到2-D离散动力系统上,真正从空间意义上研究2-D离散动力系统的混沌控制,实现了其空间混沌的控制,并利用Lyapunov第一方法给出了不动平面稳定的一个充分条件。

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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.

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