查询词典 variational equation

In cylindrical coordinate system,a modified mixed variational principle with viscous damping force is established and the corresponding state-vector equation is derived.

建立了圆柱坐标系下包含粘滞阻尼力的修正后的Hellinger-Reissner变分原理，推导了对应的状态向量方程。

In this paper a new variational method for approximating the semilinear singular parabolic equation is given by using continuous finite elem...

本文利用连续时空有限元法对半线性奇异抛物方程进行了研究，利用线性化方法给出了有限元解的存在性证明和理论误差估计。

We study the existence of nonlinear elliptic equation by variational method and critical point theory, combined with sub- and sup-solution method.

第二章我们考虑非线性椭圆方程和带有局部p-凹凸非线性项的p-Laplace方程解的存在性，其中λ是正参数，0＜p＜1＜q。

Keywords: meshless method;adaptive algorithm;elliptic equation; variational inequality.

中文关键词：无网格方法；自适应算法；椭圆型方程；变分不等式

In this paper, a semilinear elliptic equation with critical Sobolev-Hardy exponents is studied, the existence of nontrival solutions for which is proved by the linking theorem in variational calculus.

该文研究了一类带有Sobolev-Hardy临界指数的半线性椭圆方程，运用变分理论中的环绕定理证明了方程非平凡解的存在性。

This method is variational method, which will be much faster and more efficiency than other method.Firstly we use gauss integral method to disperse the least potential energy of barrette pile group, with the help of vertical settlement finite series and Mindlins equation, we derived vertical load-settlement solution of barrette pile group.

另外，目前有关壁板桩群桩水平承载特性的研究也比较少，因此，为了加深对壁板桩群桩承载特性的理解，本文利用变分法对壁板桩群桩竖直或水平受荷情况下的承载特性进行了初步的研究，通过变分法直接得出荷载位移显式方程，较之以往方法更加快捷。

We first study the Hamiltonian structure and the conservation properties of equation (2) using variational method.

2周期边值问题的数值解问题。

Results on existence and uniqueness of the solution for the diffraction problem are obtained by variational method and integral equation method, respectively.

考虑一类具有周期系数的Helmholtz方程，它是一类衍射光栅问题的数学模型，研究这类问题的数值解法。

Based on the variational principle of initial post-buckling theory, the neutral equilibrium equation of the arch under uniform compression is derived.

基于初始后屈曲理论的变分原理，导出了圆拱在均匀压力作用下弹性失稳的中性平衡方程，并计算了圆拱反对称屈曲的临界压力，得到了与经典解一致的结果。

Later, we estimate our variational functional to get a nontrivial solution of the new equation and so the second solution for is obtained.

然后我们利用函数平移将原来的非齐次边界问题转化为奇次边界问题，验证了其对应的变分泛函满足不带条件的山路引理的两个条件，并给出了泛函临界点存在的一个充分条件，最后对具体的变分泛函进行估计，得到了新方程非平凡解的存在性结果，从而得到了原方程第二个正解的存在性结果。

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。