Also we point out that this kind of variational equations has a main theoretical meaning in the study of stochastic controls.
同时，还指出这类变分方程在随机控制的研究中有着重要的理论意义。
According to the stress and Galerkin's variational principles, the mixed variational equations for the laminated shell are presented, from which the state equation is obtained.
根据应力变分原理和伽辽金变分原理，导出叠层圆柱壳的混合变分方程，并将其转换成状态方程。
The complete Euler equation set contains all kinds of Euler equations of the variational problems.
该方程组涵盖了变分问题的各种欧拉方程。
As an inverse problem of Hamiltonian mechanics, a new Hamiltonian system in elasticity and its variational principle are derived from the basic equations of elasticity.
作为哈密顿力学逆问题，从弹性力学基本方程推导出弹性力学中一个新的哈密顿系统及其变分原理。
By variational principle we obtain a system of differential equations and corresponding boundary conditions.
利用变分原理得到平衡微分方程组和相应的边界条件。
Then correspondently, we obtain the specific variational principles, bounded theorems, and boundary integral equations of the second stage problems.
再得到与之对应的各类变分原理，界限定理，第二阶段问题的边界积分方程。
The cartoon component of an image is modeled by a bounded variation (BV) function; the corresponding incorporation of BV penalty terms in the variational functional leads to solve PDE equations.
图像的卡通部分是由一个有界变差(BV)函数来刻画，相应的将BV罚项合并到变分泛函中需要解偏微分方程。
Starting from the motion equations and accepting the technique of numerical variational adjustment, this paper sets up a new model to calculate the typhoon wind field in the Bohai Sea.
本文从大气的运动方程出发，利用实测的台风气压场资料和变分调整的方法，计算了进入渤海的台风风场，模拟了台风的不对称结构。
Some basic concepts and the essential control equations of non incremental algorithm based on the optimal control variational principle in mechanics are presented in this paper.
在非增量算法的基础上，提出了用最优控制变分原理来形成非增量迭代求解的基本思路，并给出了求解的基本控制方程。
The fundamental equations in finite element method for unsteady temperature field elastic plane problem are derived on the bases of variational principle of coupled thermoelastic problems.
在耦合热弹性问题变分原理的基础上，导出非定常温度场热弹性平面问题的有限元法基本方程。
Based on the sub-region generalized variational principle, the solving equations of the problem are derived directly.
根据分区广义变分原理，直接导出问题的求解方程式。
Based on discrete variational principle, the equations of motion for the discrete systems are established.
根据离散变分原理建立离散系统的运动方程。
Then, buckling characteristic equations for laminates with built-in circular or elliptical delaminations are derived by using the variational principle and linearized method.
然后由变分原理并进行线性化得出了含内埋圆形或椭圆形脱层板的屈曲特征方程。
The preconditions, additional conditions and reflection laws of variational principle are the complete elementary equations in elasticity.
弹性力学变分原理的先决条件、补充条件和反映的规律一起正是弹性力学全部基本方程。
On the basis of the governing differential equations by the variational principles, the finite beam element for analyzing the shear lag effect of box girders is proposed.
在变分法薄壁箱梁剪力滞基本微分方程的基础上，提出一个可考虑集中弯矩影响的分析箱梁剪力滞效应的有限梁单元。
It doesn't need the variational principle and can be applied to solve non-positive or positive definite partial differential equations with arbitrary variable coefficient.
该方法不用一般的变分原理，可适用任意变系数正定和非正定偏微分方程。利用这一方法得到一个新的八节点四边形平面应力单元。
According to the variational principle for wave propagation, the elastic wave equation and the compressional and shear wave equations in a vertically inhomogeneous medium are developed.
本文由波传播问题的变分原理导出了垂向不均匀介质中的弹性波波动方程及纵波和横波波动方程。
The key problem of four-dimensional variational data assimilation method, which solves the constraining numerical predict equations through accompanied model, is how to establish an accompanied model.
应用伴随方法求解以数值预报方程作为约束条件的四维变分资料同化方案，关键问题是如何构造伴随模式。
The diffusion coefficient is estimated by variational assimilation method for 1-d diffusion equations.
利用变分同化方法对一维扩散方程扩散系数进行了估计。
This thesis includes three chapters, which mainly discusses the iterative algorithms for solving nonlinear equations problems and nonlinear variational inequality problems.
本文主要讨论求解非线性方程组问题与变分不等式问题的迭代算法。全文共分三章。
Then we provide a rigorous and sound theoretical basis of variational finite element method and boundary element method for calculating the accurately fundamental equations.
从而为求取较为精确的入水冲击问题基本方程的变分有限元及边界元方法奠定了严密的理论基础。
Based on this, the evolution equations, evolution laws of elliptical Hermite-Gaussian light beam's every variable and two critical powers are also derived using variational method.
在此基础上，运用变分法得到了椭圆厄米高斯光束各参量的演化方程、演化规律和两个临界功率。
In this paper, employing rigorous variational calculus, equations of control surface at maximum thrust nozzle exit are derived.
本文用严格的变分法导出了最大推力喷管出口控制面方程。
Features of solving the hydrodynamic equations by the fully conservative implicit difference scheme and solving the thermal conductive equations by the variational method are discussed.
讨论了用隐式完全守恒差分格式求解流体力学方程组，用变分原理求解热传导方程等特点。
FVM can be extended to more general areas, which is a widely suitable numerical method for solving the variational integral equations.
FVM可以被推广到更广泛的领域，是一个求解变分型积分方程问题的普遍适用的新型数值方法。
The complete Euler equation set contains all kinds of Euler equations of the variational problems.
通过两个算例验证了完全欧拉方程组的正确性。
The problem of solving large deflection plate by the variational method is changed into that of solving systems of cubic algebraic equations with multi-unknown quantities.
采用变分法求解薄板大挠度问题的高级近似解时将导致多元三次代数方程组。
On the basis of the energy-variational principle, the differential equations and boundary conditions of curved box girder are derived.
利用能量变分原理，推导出平面曲线箱梁的基本微分方程、边界条件；
A new slope stability analysis method, explicitly satisfying all limiting-equilibrium equations, is presented. To make the problem statically determinate, the variational approach is used.
本文在现有变分法求解土坡稳定的基础上，推导了一种能适用于任意有对称面的非均质土坡的稳定分析方法。
A new slope stability analysis method, explicitly satisfying all limiting-equilibrium equations, is presented. To make the problem statically determinate, the variational approach is used.
本文在现有变分法求解土坡稳定的基础上，推导了一种能适用于任意有对称面的非均质土坡的稳定分析方法。
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