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Finally, based on complex function theory, we also gave the analysis solutions of this problem.

最后,根据复变函数理论求解范数的方法求得了问题的解析解。

In chapter 4, sufficient conditions of at least one, two and multiple positive periodic solutions to a scalar functional differential equation with muti-finite delays are obtained by using a fixed point theorem introduced in [27] and [85] which is different from the one of a cone compression and expansion of norm type. It generalizes and improves some related results in the literature.

第四章利用文献[27]和[85]中所给出的不同于范数型锥压缩和拉伸的不动(来源:bc1cbcABC论文网www.abclunwen.com)点定理得到了具有有限时滞纯量泛函微分方程至少存在一个、两个和多个正周期解的充分条件,推广并改进了已有的相关结果。

It defines the vector norms as satisfaction function to revise the weighting factors of metrics given by analytic hierarchy process. Meanwhile, the scheme exploits vector geometrical relationships in Hilbert sub-space basing on revised weights to measure similarities between vectors of network ability and user target.

该算法定义Hilbert空间中的向量范数表征满意函数,以修正由层次分析法给出的各指标权重因子;并利用基于修正权重因子的Hilbert子空间中向量间的几何关系,衡量网络参考向量与用户目标向量间的相似性,选择与用户需求最匹配的网络。

A integral equation formulation is derived based on modified Green's operator with norm less or equal to one.

利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程,由于满足压缩映射条件,该积分方程在任意参数条件下总是迭代收敛的。

In the second part, we study the problem of output feedback control for a class of discrete-time uncertain systems with Hyperbolic models.

第二部分:研究了一类基于双曲正切模型的不确定参数具有范数有界形式的离散系统的输出反馈的鲁棒镇定问题。

Our work includes: 1 Different from general target recognition problems, L2 normalized samples are applied to HRRP-based RATR to deal with the amplitude-scale sensitivity problem, therefore, geometrically speaking, HRRP samples spread on a unit hypersphere.

考虑到用于识别的HRRP样本在2-范数强度归一化后都位于单位超球面上,针对于幂次变换后趋于Joint-Gaussian分布的HRRP数据,提出了一种改进的基于子空间近似的统计识别方法。

By spectral analysis of the system, we find that 0 is the uniquespectral point of system on the imaginary axis.

同时通过研究系统算子的谱特征,证明了系统算子的谱点均位于复平面的左半平面且虚轴上除0外无谱,进而得到系统的渐近稳定性,特别在范数意义下系统的动态解收敛到稳态解。

To price the continuously sampled arithmetic average Asian option, an implicit upwind difference scheme is constructed based on the final boundary value problem of partial differential equation, which is satifiable to the option pricing problem. Then the unique existence and unconditional stability of the difference solution are demonstrated and the error estimate is given under the discrete L2 norm.

研究连续取样的算术平均亚式期权定价问题的差分方法,根据问题所满足的偏微分方程终边值问题,构造出一种隐式的迎风差分格式,论证了差分解的惟一存在性和绝对稳定性,并给出差分解在离散L2范数下的误差估计。

The conventional matrix decomposition methods have been used to find the least-squares solutions of the abovementioned inconsistent matrix equations over given matrix set in many references, and the general expressions of these solutions were obtained. But it is difficult to determine the solution of Problem I by utilizing these expressions due to the fact that the orthogonal invariance of Frobenius norm does no hold for the general nonsingular matrices.

对于求上述不相容矩阵方程在给定矩阵集合上的最小二乘解,很多文献中利用传统的矩阵分解方法得到了其通解表达式,但是利用该表达式很难得到问题Ⅰ的解,这是因为一般的非奇异矩阵并不满足Frobenius范数的正交不变性。

In this part we use the linear matrix inequation method.

第三,针对范数有界不确定性,采用线性矩阵不等式方法,利用输出反馈来镇定系统。

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