查询词典 variational problem

We show that the value function satisfies a free_boundary problem, prove the existence of the optimal policy by variational equation and get the optimal policy.

给出了价值函数满足的自由边界，用求解变分方程的方法证明了最优控制的存在性，并找到了最优控制策略。

At each time step, the variational formulation of the semidiscrete problem is derived.

借助人工边界条件给出半离散化问题的变分形式，讨论了所得的变分问题解的存在性与唯一性。

We firstly establish the variational formulation, prove the well-posedness, and then use the infinite element method to solve the problem, we provide some numerical examples as well as the convergence.

我们先建立变分公式，证明其适定性，再用无限元方法求解该变分问题，我们证明了收敛性，并提供了数值例子。

By applying global variational formulation and the generalized Lax2Milgram saddle2point theory , it is proven that the discrete problem is well2posed.

通过整体变分方法并借助推广了的Lax2Milgram 鞍点理论，证明了离散解的存在唯一性。

In order to solve the traveler route and departure time choice problem under multiple transportation modes,the variational inequality formulation is proposed in modeling the traveler stochastic dynamic simultaneous route and departure time choice behaviors with elastic demand .

为了解决在多种交通模式条件下出行者的路径与出发时间选择问题，提出了一个变分不等式模型用于模拟具有变需求的多模式随机动态出行选择行为。

For the first patern, elastic dynamics is adopted to study the steady state rolling contact, elastic dynamics incorporating with rigid dynamics is adopted to study the non-steady state. For the steady state, the analytical solution is obtained, and for the non-steady state, the variational formulation to solve the problem numerically is derived For the later patern, the function type friction coefficient is introduced. On the basis of the quasi-stastic theories of constant friction coefficients, both the exact theory and the simplified theory of the function type friction coefficient are established, the computer programms for both the theories are also made out. Using the function type friction coefficient, Shen-Hedrick-Elkins theory's application range is extended to large creepage .

对于速度对接触体力学特性的影响，本文采用弹性动力学方法和弹性动力学与刚体动力学相结合的方法分别对稳态和非稳态两种情况进行了研究，得到了稳态情况的解析解，给出了对非稳态情况进行数值求解的变分公式；对于速度对相关物理量的影响，本文主要讨论了速度对摩擦系数的影响，在滚动接触准静态理论的基础上引进了函数型摩擦系数，建立了函数型摩擦系数的滚动接触准静态精确理论和简化理论，并分别编制了相关的计算程序，还用函数型摩擦系数将简便的Shen-Hedrick-Elkins理论的适用范围扩展到大蠕滑区。

In this paper, an united variational inequality model of instantaneous dynamic user optimal problem is proposed.

本文建立了瞬时动态用户最优配流问题的变分不等式模型。

The weak problem is proved to be well-posed in mathematics, and an effective solution is also given according to the theory of the variational inequality.

本章从数学上严格证明了该弱问题是适定的，并基于变分不等式理论给出了一整套非常有效的解法。

The problem considered in the fifth chapter can be describe by the variational inequality.

第五章所考虑的供应链问题也可以用变分不等式来描述。

The argument exploits the variational structure of the problem, and is bas...

该证明利用了问题本身具有的变分结构，是以在给定的道路类上的"拉格朗日作用的最小化原理"为根据的。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。