1·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。
2·The new variational principles can fully characterize the initial-boundary-value problem of this dynamics.
这种新的变分原理能反映动力学初值-边值问题的全部特征。
3·The obstacle problem is the typical example of the elliptic variational inequality of the first kind.
薄膜障碍问题是第一类椭圆型变分不等式的代表性模型。
4·Then the new step function space is introduced and stability problem for the finite difference scheme is discussed by means of variational approximation method.
然后引入新的步长函数空间，并在这个空间上，采用变分近似法讨论该格式的稳定性问题。
5·As to the problem of packing balls, a smooth model is given and the corresponding optimality conditions are established by the optimality theory of variational analysis.
对球体图元的装箱问题直接给出光滑的优化模型，依据变分分析的最优性理论建立了最优性必要条件。
6·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。
7·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。
8·A finite element method using subregion variational principle and spline function in this paper is presented to solve the problem of combined shell of revolution.
本文提出一种用分区变分原理和样条函数相结合的有限元方法，解决组合型旋转壳受力分析问题。
9·A new mixed variational formulation is presented for the elastic contact problem with application of least-square method.
采用最小二乘法对弹性接触问题提出了一种新的混合变分形式，对该变分问题解的存在唯一性进行了论证。
10·A generalized variational principle involving conditions of the rigid-plastic interface and the discontinuous surface of a velocity field has been put forward for the mixed-boundary value problem.
提出了一个包括界面条件及间断面条件在内的混合边值问题的广义变分原理，建立了极限载荷乘子的变分解析公式。