Comparison between numerical result and variational solution shows that the method used in this work is effective for studying flow-induced vibration of pipeline on offshore platform.
比较等截面管道的变分解和数值解，说明此方法用于研究海洋平台输液管道的流体激振是有效的。
Thus, the theory of state space is combined with variational solution, and the variational results for free vibration frequency of the laminates with arbitrary thickness are calculated.
根据应力变分和伽辽金变分原理，导出混合变分方程，并将其转换成状态方程，使状态空间理论和变分解相结合，给出任意厚度叠层板自振频率的变分解。
As its applications, the continuity of solution mappings for a class of parametric vector optimization problem and parametric vector variational inequality is obtained.
作为应用，得到一类参数向量优化问题和参数向量变分不等式的解的连续性。
The fine scales solution in the variational multiscale finite element method, which can be acquired by analytical or numerical technique, has an important impact on the final numerical solution.
变分多尺度有限元方法中的细尺度解对数值解有着重要的影响，其可通过分析方法或数值方法求得。
Using the variational iteration theory, the approximation of the solution for its model is obtained for short cut calculation.
利用变分迭代理论，简捷地得到了该模型解的近似展开式。
Usually the probability of rare event derived from large deviation method can be expressed as a solution of variational problem.
通常，源于大偏差方法的小概率事件的概率可以作为一个变分问题的解。
A new minimax inequality theorem is established, which will be used to study the existence problem of solution for a new class of generalized bi-quasi-variational inequality.
建立了一个新的极大极小不等式，并利用它研究了仿紧集上一类新型广义双拟变分不等式解的存在性问题。
Based on the theory of variational inequality, a direct solution method of one-dimensional problem is developed which efficiently solves the Reynolds equation.
基于变分不等方程理论，雷诺方程采用一维直接解法求解。
We obtain the existence and uniqueness of the classical solution by its equivalent parabolic quasi variational inequality.
利用其等价的抛物拟变分不等式，得到了该问题古典解的存在唯一性。
In this paper, the existence of solution to the variational inclusions concerning intermediate derivatives is discussed in the Banach space.
利用这些概念和标量导数研究了变分不等式问题解的存在性。
The finite element method is obtains the approximate solution according to the variational principle and the discretization the method.
有限元法是根据变分原理和离散化而取得近似解的方法。
This paper presents a new auxiliary variational inequality for solving mixed quasi-variational-like inclusions. First, proved the auxiliary variational inequality has unique solution.
本文对混合拟似变分包含问题提出新的辅助变分不等式，首先证明辅助变分不等式存在唯一解。
Neural networks for solving a class of variant variational inequalities are studied under the necessary and sufficient conditions of the solution.
基于解的充分必要条件，讨论了一类变量变分不等式的神经网络方法。
By the parametric potential energy variational principle, the analytic solution of expansion problem of granular material pile is obtained.
利用参变量最小势能原理，求出了散体材料桩扩张问题的解析解。
On the basis of the variational method, a finite difference solution is presented for shear lag effect in Qiantang River Bridge with box section of varying depth.
本文结合钱塘江二桥应用变分法推导了变截面箱形梁剪滞效应的微分方程并利用有限差分法求得解答。
In this thesis, first, we employ the fixed point theorem to establish the existence of solution of a class of generalized vector quasi-variational-like inequality over product sets.
本文首先研究了一类积集上的广义向量拟类变分不等式问题，使用不动点定理给出了它的解的存在性结果。
In particular, we gain the existence result of non-zero solution for generalized variational inequalities.
特别给出了广义变分不等式存在非零解的充分条件。
Last, a kind of generalized nonlinear vector variational-like inequalities is presented and the solution existence for this kind of variational inequalities is given.
引进一类广义非线性向量似变分不等式，建立其解存在的充分条件。
There are many iterative algorithms for the solution of variational inequality and fixed point of mappings.
我们考虑了这类变分不等式解的存在性及迭代逼近算法问题。
A new iterative algorithms to approximate the solution of the class of nonlinear implicit quasi variational inclusions in Banach space is constructed using resolvent operator.
利用预解式算子技巧构造了一类求变分包含逼近解的迭代算法，并讨论了由此算法产生的迭代序列的收敛性。
Using the resolvent operator technique, we obtain the approximate solution to a system of set-valued quasi-variational inclusions.
利用预解式算子技巧构造了一类求变分包含逼近解的迭代算法，并讨论了由此算法产生的迭代序列的收敛性。
When generalized variational inequality problem is studied, one method called auxiliary principle is to construct a series of auxiliary problems to approximate the original solution;
在研究广义变分不等式问题时，方法之一是构造一系列辅助问题来逼近原问题的解，即辅助原理技术；
When generalized variational inequality problem is studied, one method called auxiliary principle is to construct a series of auxiliary problems to approximate the original solution;
在研究广义变分不等式问题时，方法之一是构造一系列辅助问题来逼近原问题的解，即辅助原理技术；
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