唯一解

In this paper,four aspects of the above problems were studied:Firstly, the problem of solving continuous linear operator equation inseparable Hilbert space is studied .

通过把第一类连续不适定算子方程转换为等价的无穷维方程组，然后利用投影法，给出了解存在唯一的充要条件；给出了连续线性不适定算子方程解析解，解决了不适定情况下解的表示问题，由此给出了算子方程的数值求解公式；进一步证明了，在解不唯一情况下，此表达式给出的解为算子方程的最小范数解，同时表示出了连续线性不适定算子方程的解集。

On the base of analysis of one dimensional linear interpolation method, two dimensional linear interpolation method in oblique angled rectilinear coordinate system is obtained.

在分析一维线性插值的基础上，得到了任意斜角直线坐标系下二维线性插值的一般计算公式以及有唯一解的条件，并将其应用于平面温度场的计算。

At first, two optimal control problems for hybrid dynamic time-varying systems with free-terminal and terminal constraint are considered, value functions of these two optimal problems are respectively proved to be the unique viscosity solution and the unique lower semicontinuous solution to a type of Quasi-Variational Inequality and the relationship between them is addressed.

本文首先分别考虑了有限时间混合动态时变系统在终端自由和终端约束两种情形下的最优控制问题，得到了最优控制问题的解在这两种情形下分别是一类拟变分不等式的唯一的粘性解和唯一的下半连续解的结论，并给出了它们之间的关系。

Chapter 4 continues to discuss linear time-varying singular systems with delay, and establishes L〓 space theory by the manners of the theory of Sobolev Space.

得到了系统有时存在唯一连续解，有时存在唯一脉冲解或跳跃解，有时存在无穷多解，有时无解等多种结果。

This unique solution is then x=??

这时它的唯一解就是x＝？？

In mathematics, a system with number of unknown equal number of equation provides a deterministic system.

在数学里，一个由 N 个变量与 N 个线性互不相关的方程组成的系统是有唯一解的系统。

In this project, we study the theory of higher order differential equations in Banach spaces and related topics. We solve an open problem put forward by two American Mathematicians and two Italian Mathematicians concerning wave equations with generalized Weztzell boundary conditions, introduce an existence family of operators from a Banach space $Y$ to $X$ for the Cauchy problem for higher order differential equations in a Banach space $X$, establish a sufficient and necessary condition ensuring $ACP_n$ possesses an exponentially bounded existence family, as well as some basic results in a quite general setting about the existence and continuous dependence on initial data of the solutions of $ACP_n$ and $IACP_n$. We set up quite a few multiplicative and additive perturbation theorems for existence families governing a wide class of higher order differential equations, regularized cosine operator families, regularized semigroups, and solution operators of Volterra integral equations, obtain classical and strict solutions having optimal regularity for the inhomogeneous nonautonomous heat equations with generalized Wentzell boundary conditions, gain novel existence and uniqueness theorems,which extend essentially the existing results, for mild and classical solutions of nonlocal Cauchy problems for semilinear evolution equations, present a new theorem with regard to the boundary feedback stabilization of a hybrid system composed of a viscoelastic thin plate with one part of its edge clamped and the rest-free part attached to a visocelastic rigid body. Also we obtain many other research results.

在本研究中，我们对Banach空间中的高阶算子微分方程的理论以及相关理论进行了深入研究，解决了由美国和意大利的四位数学家联合提出的一个关于广义Wentzell边界条件下的波动方程适定性的公开问题，恰当地定义了Banach空间中的高阶算子微分方程Cauchy问题的算子存在族及唯一族，建立了齐次和非齐次高阶算子微分方程Cauchy问题适定性的判别定理，获得了关于高阶退化算子微分方程的算子存在族、正则余弦算子族、正则算子半群、Volterra积分方程解算子族的乘积扰动和混合扰动定理，得到了关于以依赖于时间的二阶微分算子为系数的一大类非自治热方程非齐次情形下的时变广义Wentzell动力边值问题的古典解、严格解的最大正则性结果，获得了半线性发展方程非局部Cauchy问题广义解和经典解存在唯一的判别条件，从实质上推广了现有的相关结果；得到了一部分边缘固定而另一部分附在一粘弹性刚体上的薄板构成的混合粘弹性系统的边界反馈稳定化的新稳定化定理，还建立了一系列其他研究结果。

After separating velocity parameters from hypocentre parameters, the introduction of an orthogonal projection operator has made the system of equations for hypocentre parameters consistent.

这就使得有可能通过台网的适当布局，获得地震定位的唯一解。在数值方面，本文还提出了利用矩阵的块结构采取顺序正交三角化的方法，减轻了内存的困难。

In Ch.3, the wavelet network identifiably of stable SISO nonlinear discrete dynamic system is proved in theory.

第三章 从理论上证明了稳定且具有唯一解的SISO非线性离散动态系统的小波网络可辨识性。

We design a set of regressions to analyze this black system, and demonstrate in detail the unavoidable problem of the unique solution.

提出了一种解析这个难题的算法，并详细论证了方法中不可避免的唯一解问题。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。