The existence and uniqueness of the optimal solution are proved when the ratio of the container arriving is taken to be random variable subjecting to uniform distribution.
当预订舱位的重箱出现比率为服从均匀分布的随机变量时，证明了超订模型最优解的存在性和唯一性。
In chapter 1, firstly, by using classical analysis methods, such as the introduction of Bessel function and semigroup theory, we transform the pseudo-parabolic equation into an abstract operator equation and achieve the existence and uniqueness of the local solution.
在第一章中，利用经典的分析方法，引入Bessel势函数，将伪抛物型方程转化为抽象算子方程，首先，利用算子半群理论，论证了局部解的存在唯一性。
This solution has no relation with properties of the imaginary isotropic layer, and this is consistent with the uniqueness theorem of elastodynamics.
所得结果和假想层的力学性质无关，符合弹性力学问题的唯一性定理。
In this paper, we prove the existence and uniqueness of global weak solution of Non Newton Filtration equation with a kind of nonlinear boundary condition.
证明了一类具有非线性边值条件的非牛顿渗流方程解的存在和唯一性。
On the other hand, uniqueness of integral solution and its regularity are obtained by means of Lipschitz conditions, properties of absolute continuous mappings, reflexivity and strict convexity of Banach spaces.
借助Lipschitz条件、绝对连续函数的性质及Banach空间的自反严格凸性，获其积分解的唯一性且是强解。
Then the priori estimates of the solutions for the approximation problems are found. Finialy, by using of compactness principle, the existence and uniqueness of global weak solution, if R is Auger term, or the existence and uniqueness of local weak solution, if R is SRH term, are proved.
第五部分研究稳态半导体方程组的混合边值问题，对基本半导体方程组稳态弱解的存在性，给出了一般性的证明框架，给出的证明方法和结论，丰富完善了现有结果。
Here, we firstgive the definition of solution of the above equation, then under the Lipschitz conditionwe dicuss the existence and uniqueness of the solution、the comparison of the solutionand a kind of the extended g-expectation and g-martingale. We obtain the following threeresults related to the above extended BSDEs: the first is the theorem of existence anduniqueness of the solution of the extended BSDEs, the second is the comparison theoremof the extended BSDEs, and the last is the notion of the extended g-expectation andg-martingale and some properties of them.
我们在此先给出关于以上倒向随机微分方程解的定义，然后在一致Lipschitz条件下研究了它的解的存在唯一性以及解的比较和一类推广的g-期望和g-鞅，我们得到以上推广的倒向随机微分方程以下三个方面的结果：一是推广的倒向随机微分方程的解的存在唯一性定理，二是推广的倒向随机微分方程的比较定理，最后是一类推广的g-期望和g-鞅及相关性质。
In such impulse control system, the solution of its existence and uniqueness is worked out.
针对这类脉冲控制系统，研究其解的存在性和唯一性。
There are two works that we foundin this kind of results, one is Spiliotis'paper[8], the other is Wang Rouhuaiand Wang Guanglie's paper [13].Spiliotis obtained the existence of a kind ofgeneralized solution through probability method, where he specially pointed outthat he hadn't had the uniqueness and regularity of this solution. Wang Rouhuaiand Wang Guanglie gave another kind of generalized solution and obtained itsexistence and uniqueness by establishing the equivalence of viscosity solution andgeneralized solution and the existence and uniqueness of viscosity solution.
Spiliotis在文[8]中通过概率的方法得到了一种广义解的存在性，并且特别指出了没有得到这种解的惟一性和正则性。1993年，王柔怀和王光烈在文[13]中给出了另一种广义解，并通过建立粘性解和广义解的等价性，利用粘性解的存在惟一性得到广义解的存在惟一性。
It indicates that singular solution exists in solving problems of elasticity, which is inconsistent to the theorem of uniqueness of solution.
结果表明，在弹性力学问题中存在奇异解的情况，这与弹性力学解的唯一性定理是不一致的。
The existence and uniqueness of the w eak solution for P 2L ap lace equation w ith absorp tion and a non2linear bondary condition are studied.
Descripción ：摘要研究了一类具吸附和非线性边值条件的P 2L ap lace 方程弱解的存在唯一性。
By using homeomorphism method and the extended inverse function theorem, the existence and uniqueness of the solution for the semi-linear pseudoparabolic equations is obtained.
首先在Hilbert空间中建立了强制不等式，利用同胚方法和抽象的反函数定理，得到了半线性伪抛物方程初边值问题解的存在性和惟一性定理。
Uniqueness of solution for generalized variational inequality related to strongly monotone Lipschitz mapping is shown. A sufficient condition is presented on the connectedness of solution set for the weak vector variational inequality on which the mapping is from a topological vector space X to L, where Y is also a topological vector space. The result is derived by discussing the properties of set-valued mapping induced by solution set of a scalar variational inequality related to the weak vector variational inequality.
利用拓扑向量空间到连续线性映射空间L的映射的弱向量变分不等式和与之相关的标量型变分不等式解集的关系，得到标量型变分不等式解集所表征的集值映射的特性和弱向量变分不等式解集的连通性条件。
In Chapter 2 we deal with the existence and uniqueness of the local classical solution about the multidimensional coupled problem with one parabolic equation and two elliptic equations.
在第二章处理的是一个高维的含一个椭圆方程和两个抛物方程的耦合问题的局部古典解的存在性和唯一性。
This paper considers the moment problem for modules over principal ideal domain containing existence and uniqueness of solution.
研究主理想环上模的矩量问题，包括矩量问题的存在性和唯一性。
By using the functional analysis theory, the existence and uniqueness of solution are proved.
利用泛函分析理论，证明了系统解的存在性和唯一性。
Moreover, within the framework of quasicrystal elasticity theory, the uniqueness of the solution to basic governing equations is quite important in the theory and has to answer.
并且，在准晶弹性理论的框架下，在讨论其基本控制方程组的解的时候，唯一性定理本身就是所遇到的一个必须回答的基本问题。
Then, based upon these results, we have proved the existense, uniqueness and smoothness of the global solution of the one-dimension quasilinear Beputun Problem. As the first step.
本文对这个问题进行了深入研究，首先研究了与此密切相关的挠射问题，特别给出了内边界挠动时，解对其挠动的连续依赖关系，这是本文处理Muskat问题和BepuruH问题的关键所在，它本身也是极有兴趣的，它在逼近、计算、近似分析和有限元方面都很有意义，然后，在此基础上对一维拟线性BepuruH问题进行讨论，得到了解的存在性、唯一性、光滑性和整体性。
In this thesis, using the integral equation theory and functional analysis, we prove the existence and uniqueness of the model solution.
但对于带有时滞的非线性的用偏微分方程描述的经济分布参数控制模型的研究，在以前的文献中还没有见到。
The solution process reflects the peculiarities of real estate investment analysis such as the uniqueness of projects, the indivisibilities or lumpiness of projects, and the associated restrictions between the financing and investment decisions.
性的项目，不可分割或凹凸不平的项目，以及相关的限制之间的融资和投资决策。该解决方案过程中反映的特殊性房地产投资分析，如独特性的项目，不可分割或凹凸不平的项目，以及相关的限制之间的融资和投资决策。