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Mond - Weir type dual and Wolfe type dual for any dimension programming with equality and in inequality constrains is discussed.

在Banach空间中定义了ρ-不变凸的概念,讨论了具等式和不等式约束的任意维规划的Mond-Weir型对偶与Wolfe型对偶。

This thesis presents some works in the alternating directionmethod for solving a class of asymmetric monotone variational inequalities.

本文研究了一类单调非对称的变分不等式的交替方向法。

This paper describes the application of a quadratic function, namely : the use of quadratic function for Inequality, discuss other monotone function with the most value, the real roots distribution, series of comprehensive, quadratic function embodied in the high school math widely used.

本文主要介绍二次函数的应用,即:利用二次函数解不等式,讨论其他函数的单调性与最值、实根分布,数列中的应用等综合问题,体现了二次函数在高中数学中的广泛应用。

The main work is to give some sufficient conditions for the existence and global exponential stability of periodic solutions for PDNNs model, without assuming the smoothness, monotonicity and boundedness of the activation functions.

这里采用的主要方法仍然是Mawhin的重合度理论和Liapunov泛函的应用,并借助于一些重要的不等式和矩阵代数技术,得到更为一般并且具有很少限制的一些新的充分条件。

By constructing proper Lyapunov functional, a sufficient condition and a necessary condition which the neutral item must satisfy when the modal is steady are given based on LMI technique and Lyapunov-Krasovskii stability theory.

通过构造合适的Lyapunov泛函,借助线性矩阵不等式的一些技巧以及Lyapunov-Krasovskii稳定性理论,给出了该神经网络模型稳定的充分条件,以及模型稳定时中立项所必须满足的必要条件。

To prove the inequality involving for negative proposition, the proposition "or at least",""," nonexistence "and" impossible "words, can consider to use when required.

凡涉及到的证明不等式为否定命题、惟一性命题或含有"至多"、"至少"、"不存在"、"不可能"等词语时,可以考虑用反证法。

The linear matrix inequalities directly guarantee the negativeness of the time derivative of the Lyapunov functional, and reduce the conservativeness of the controller design.

所得线性矩阵不等式直接保证Lyapunov泛函对时间的导数为负,降低了控制器设计的保守性。

For a uniform complex dynamical network, linear matrix inequality is adopted to derive a sufficient condition of synchronization.

针对一类一致连结的耦合复杂网络模型,采用线性矩阵不等式的方法给出了实施牵制控制达到同步的充分条件。

This paper discussed a strongly coupled prey-predator model under the homogeneous Neumann boundary condition.

讨论了一个强耦合的Holling-Tanner型捕食模型,利用Harnack不等式和最大值原理给出了它正解的上、下界估计。

Aim at the shortage of vertically additive method by which we can't discuss forced oscillations of systems of partial functional differential equations,we directly use the oscillatory definition,Green's formula and boundary condition of homogeneous Neumann to change the oscillatory problem of solutions to a class of systems of quasilinear parabolic equations of neutral type into the problem of which functional differential inequality haven't eventually positive solution.

针对垂直相加法无法讨论泛函偏微分方程组的强迫振动性的不足,直接利用振动的定义、Green公式以及齐次Neumann边界条件把中立型抛物微分方程组的振动问题转化为泛函微分不等式不存在最终正解的问题,然后利用最终正解的定义及上下极限得到了在齐次Neumann边界条件下判别其所有解振动或全振动的充分条件。

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