本文论述了两列向量组等价的一些充分必要条件，并应用泛函分析的理论进行分析。
In this paper, some necessary and sufficient condition about the equivalence of two column vector groups has been discussed.
随机赋范空间中的共鸣定理将可能成为随机泛函分析与概率论的新应用工具。
The random principle of uniform boundedness will be also to devoted to the possible of applications of random functional analysis and probability theory, as a new tool.
从卷积型变分原理的泛函出发，通过分析泛函中的各项，推导出求解动力响应问题的时-空有限元法，并将其应用于梁的动力问题中。
Based on Gurtin type variational principle a finite element method for initial value problems is presented by functional analysis. It is used for problems of beams dynamics.
应用非线性泛函分析的理论和方法研究了一类二阶线性微分方程，证明了周期衰减解的存在性。
The second-order nonlinear differential equations are studied and the existence of the periodic degenerate solution is proved with the principle of the functional analysis.
本文把复变函数的围道积分应用于泛函分析，对一般的线性闭算子得到了算子值函数的中值定理。
In this paper, the author USES the contour integral in analytic function to functional analysis, and obtains the mean value theorem of operator-valued functions.
非线性泛函分析序集一般原理及其应用的研究是非线性泛函分析的重要研究课题。
The study for the general principle on ordered sets in nonlinear functional analysis and its applications is an important problem in nonlinear functional analysis.
应用拉氏乘子法，建立了一端固定、一端自由的自然弯曲细长梁动力分析的广义泛函。
The Lagranges multiplier method is applied in this paper to set up a generalized function of dynamic analysis of the natural curved slender beams which have one built-in end and one free end.
应用拉氏乘子法，建立了一端固定、一端自由的自然弯曲细长梁动力分析的广义泛函。
The Lagranges multiplier method is applied in this paper to set up a generalized function of dynamic analysis of the natural curved slender beams which have one built-in end and one free end.
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