整体存在

The authors investigated the singular limits of stiff relaxation and dominant diffusion for general 2×2nonlinear systems of balance laws, that is,τ=o,ε→ 0, the relaxation time τtends to zero faster than the diffusion parameter ε. If there exists a priori L∞ bound that is uniformly with respect to ε for the solutionsof a system, then the solution sequence converges to the corresponding equilibrium solution of the system.

研究一般扩散占优的2×2双曲平衡律系统奇异松弛极限，用补偿紧性方法，在松弛时间τ比扩散系数ε趋于零快时，即τ=o，ε→ 0时，得到其解的整体存在性一般框架：如果上述系统的解存在对ε一致的先验L∞估计，则其解序列收敛于上述系统的对应平衡状态解。

In this paper,we study the Cauchy problem of nonlinear Klein-Gordonequations By introducing a family of potential wells, we not only give a threshold resultof global existence and nonexistence of solutions, but also obtain the vacuumisolating of solutions.

本文研究了以下非线性K1ein-Gordon方程的柯西问题通过引进一族位势井，不仅得到了该问题解的整体存在性与不存在的门槛结果，而且也得到了解的真空隔离现象。

In this paper we mainly utilize super and sub solution techniques, use comparision principle and construct appropriate supersolution and subsolution by eigenfunctions to discuss two kinds of nonlocal nolinear parabolic systems with homogeneous Dirichlet boundary condition.

两类非线性抛物方程解的整体存在与爆破性质本文主要利用上下解方法，运用比较原理，通过特征函数等构造适当的上下解讨论了两类抛物型方程组解的整体存在与爆破。

Second, we establisha global existence result with exponential decay for small initial data.

在经典解的局部存在性基础上，第二步，当初值在平衡态附近扰动时，我们证得了经典解的整体存在性和指数衰减性。

By the upper-lower solution method, we obtain the sufficient and necessary conditions on the global existence of solutions.

在第一部分中，我们考虑有界区域上拟线性抛物方程和方程组的整体存在性和不存在性，也即，爆破。

The justifiability of these two theories based on the understanding of the whole world including the knowledge of the construction of the universe and the ultimate meaning and value consciousness of the existence of the world(ontology in a sense of the theory of value).

理论上诉诸於对世界整体的看法，包括对整体存在界的宇宙论知识间架以及世界存在的终极意义与价值意识。

The existence of global weak solution for a class of generalized Ginzburg-Landau equations with an inhomogeneous boundary condition was studied. Some integral indentities of smooth solution of inhomogeneous initial boundary value problem of Ginzburg-Landau equations were deduced, by which a priori estimates of the square norm on boundary of normal derivative and the square norm of partial derivatives were obtained.

研究具非线性边界条件的一类广义Ginzburg＿Landau方程解的整体存在性·推导了Ginzburg＿Landau方程的非齐次初边值问题光滑解的几个积分恒等式，由此得到了解的法向导数在边界上的平方模以及解的平方模和导数的平方模估计；通过逼近技巧、先验估计和取极限方法证明了Ginzburg＿Landau方程的非齐次初边值问题整体弱解的存在性

To function, we must talk the meaning from part to whole body from angle of organicism, if not, it's action speaking from causal relation.

因为只有从有机整体主义角度看部分对整体存在的意义才有功能所言，否则按机械的因果关系就是作用。

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

Using Panel Data model to have a demonstration research for the dissertation of county economic development disparity from 1989 to 2004, and gets several significant conclusions:(1) There is aαtrend in county economic increasing disparity in China, there is also a emanative trend in county economy during theexamination of absoluteβ.

接着本文使用Panel Data模型对1989-2004年中国县域经济发展差异的收敛性进行了实证研究，得出了一些有意义的结论：(1)中国县域经济增长差异存在α趋异，另外在绝对β检验过程中发现中国县域经济整体存在发散的趋势。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了