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Based on some existing works, this thesis is devoted to the study of globalsynchronization for several delayed complex dynamical networks by means of Lya-punov functional, linear matrix inequality and some other skills. some su?cientconditions are obtained to guarantee the synchronization of the considered systems.

本学位论文在现有文献的基础上,通过构造不同的Lyapunov泛函,运用线性矩阵不等式,和一些数学分析方法技巧,分析讨论了几类耦合时滞神经网络模型的全局同步性质,得到了其全局同步的几个判断准则。

First, a fundamental inequality about covering area character of the algebroid functions in angular domains was given, which is similar to the Nevanlinna secondary fundamental theorem.

首先给出了代数体函数在角域内覆盖面积特征的一个基本不等式,它类似于Nevanlinna第二基本定理。

Some sufficient criteria were obtained for oscillation of all solutions of such systems under first boundary value conditions by employing Gauss' divergence theorem, the integral inequalities and some results of the functional differential equations.

研究一类具非线性扩散系数的中立型双曲泛函偏微分方程组的振动性,利用Gauss散度定理、积分不等式和泛函微分方程的某些结果,获得了该类方程组在第一类边值条件下所有解振动的若干充分判据,结论充分表明振动是由时滞量引起的,同时也揭示该类方程组与普通双曲型偏微分方程组质的差异。

By studying double-power integral, the geometric invariants and geometric probability can studied from the perspective. In particular, more complicated geometric probability can be resolved with the double-power integral inequality.

通过对双弦幂积分的研究,可以从新的角度更进一步的研究几何不变量和凸几何,特别是双弦幂不等式能解决更为复杂的几何概率问题。

A new control law to stabilize the systems is obtained via bilinear matrix inequalities involving Hadamard product.

在该模型下,控制设计问题可归结为一个包含Hadamard矩阵乘积的双线性矩阵不等式可解性问题。

First, we consider an iterative algorithm of Jacobi type and the corresponding domain decomposition algorithm for a approximate quasivariational inequality system of the Hamilton- Jacobi- Bellman equation and the corresponding convergence problem.

本文研究了逼近Hamilton-Jacobi-Bellman方程的拟变分不等式组的离散问题的Jacobi型迭代算法和Jacobi型区域分解法及其收敛性问题。

A class of generalized multi-valued vector variational inequality problem is studied in Hausdorff topological vector space.

研究了Hausdorff拓扑向量空间中一类广义多值向量变分不等式问题,把定义在凸集上的GMVVIP部分地推广到了非凸集并运用KKM定理得到了这类GMVVIP解的存在性定理。

Matrix eigenvalue is an important conception in matrix theory and it has many applications in other subjects. In this section, the trace of the special form matrix is mainly discussed and the inequalities of Hermitian matrix which are extension forms of the known results are gotten.

本节主要讨论一类特殊形式的矩阵特征值和它的不等式,把已有结果推广到了一般形式。

In Entrance Test of Higher Algebra of Zhangzhou Terachers Colleage for MA/MS Candidates in 2004,there is a question on inequality,which is determined by the summation of all positive eigenvalues of real symmetric matrix and its trace.

2004年漳州师范学院硕士研究生入学考试中有一道高等代数试题,是关于实对称阵的所有正特征根之和与其迹所确定的不等式

Inequality proof of higher mathematics is a common problem, but also a mathematical problem solving mathematical analysis of the other.

不等式的证明是高等数学中一个常见的问题,而且也是数学分析解决其它数学问题的基础。

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