查询词典 variational method

The influence of initial imperfections on the stability ofcomposite laminated plates was studied by solving the nonlinear governing equations for laminated plates with elastical restraints subject to in-plane loading using the energy variational principle and nonlinear geometric equations incorporating the initial imperfection. The governing equations were solved using generalized Fourier series to obtain the effect of the non-uniform order term.

为深入研究初始缺陷对复合材料层板稳定性的影响，利用能量变分原理和考虑初始缺陷的非线性几何方程，建立了具有弹性约束的层合板在面内载荷作用下的非线性稳定性控制方程组，运用广义傅立叶级数法对其进行求解，并进一步获得了影响非线性稳定性控制方程组的性质的非齐次项。

All of the variational law of density, longitudinal wave velocity and tensile strength of gritstone after high temperature are studied.

对40块粗砂岩试件高温后的密度、纵波波速和抗拉强度变化规律进行了试验研究。

For non-conservative mechanical systems,the classical variational principle of Hamilton does not hold true.

对非保守机械系统，传统的哈密顿变分原理不能认为是正确的。

By using Legendre transformation, the Hamilton mixed energy variational principle is established and semi-analytical solution of electric-magnetic theory is presented.

同时，利用勒让德变换给出Hamilton型混合能变分原理，并在此基础上建立电磁理论的半解析的数值解法。

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。

In Chapter 6, we study a kind of system of nonlinear variational inequalities and its related auxiliary problems in real Hilbert space.

针对一类非线性变分不等式系统，我们研究了其相关辅助问题，建立了辅助问题解的存在性定理。

We also introduce and study a new system generalized nonlinear variational inclusions for fuzzy mappings in Hilbert space.

我们利用极大单调映象的预解算子技巧，建立了这类模糊映象的变分包含组与非线性集值映象的不动点问题之间的等价关系，再利用Nadler的不动点定理给出了这类变分包含组的解的存在性定理。

The existence and uniqueness of optimal control and the corresponding maximum principle are studied by using the fixed point theorem, the Sobolev's imbedding theorem and variational principle.

本章的结论既是在已有文献中还没有见到的成果，也是对单种群动力系统最优控制问题的完善和发展。

Then,the system is linearized by variational approach,the local null controllability is proved by applying a generalized implicit function theorem and combining the property of the solution mapping.

首先得到了系统的逼近能控性；然后采用变分方法对系统线性化，再结合解映射的性质，应用推广的隐函数定理，证明系统的局部零能控性；最后给出系统零能控的结论。

Then, the system is linearized by variational approach, the local null controllability is proved by applying a generalized implicit function theorem and combining the good property of the solution mapping.

首先通过对系统线性化，构造泛函，利用对偶方程，给出控制函数具体形式的办法得到系统的逼近能控性；然后采用变分方法对系统线性化，再结合解映射好的性质，应用推广的隐函数定理，证明系统的局部零能控性；最后利用局部零能控性和逼近能控性结合给出系统零能控的结论。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。