给出了有关凸泛函的两个命题，并由此对凸下半连续泛函的下控定理、次可微定理的条件、结论及证法进行了探讨。
As to their applications, some results about the low control theorem of the convex lower semi-continuous function and the subdifferentiable function theorem are obtained.
目的研究一类具有连续偏差变元的双曲偏泛函微分方程边值问题解的振动性。
Aim To study a class of boundary value problem of hyperbolic partial functional differential equations with continuous deviating arguments.
针对信息科学和控制理论中经常涉及的一类泛函极值问题，提出基于连续回归神经网络的求解方法。
In this paper, the continuous time recurrent neural network is proposed to solve the functional minimization problem, which is often involved in estimation and control.
本文利用拓扑矢量空间中的连续线性泛函导入最佳逼近定义，给出了最佳逼近元的特征定理、存在性定理和唯一性定理。
In this paper the author introduces the definition of the best approximation in topological vector Spaces by use of continuous linear functionals.
研究一类具有连续分布滞量的偶数阶非线性中立型泛函微分方程解的振动性，得到了该类方程的若干新的振动准则。
We study the oscillation of solutions for a class of even order nonlinear neutral functional differential equations with continuous distributed delay.
利用泛函分析的技巧讨论了一类对具有连续时滞非线性积分微分方程周期解的稳定性。
The stability of periodic solutions of a kind of nonlinear integral-differential equations with continuous delay is discussed in this paper mainly by the method of functional analysis.
该文获得了一类具有连续偏差变元的二阶非线性偏泛函微分方程的振动性的充分性条件。
In this paper, we study a class of boundary value problems of even order nonlinear neutral partial functional differential equations with continuous distribution delay.
拓扑线性空间的局部双序凸性，是该空间上连续线性泛函实现双序正分解的基础。
The Local biorder-convexity is a base of the biordering positive decomposition of linear functionals.
本文研究了一类具有连续偏差变元带中立项的双曲偏泛函微分方程解的H-振动性，给出了判别解H-振动的充分条件。
This paper studies the H-oscillations of hyperbolic partial functional in differential equations with deviating arguments and provides it with sufficient conditions.
总泛函中考虑了张力功率和速度不连续面上的剪切功率；
Using the shearing rate of work on then surfaces of velocity discontinuity and the tensional rate of work are taken into account when computing the total functional.
总泛函中考虑了张力功率和速度不连续面上的剪切功率；
Using the shearing rate of work on then surfaces of velocity discontinuity and the tensional rate of work are taken into account when computing the total functional.
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