| 1. | A class of variational equations and the boundednes of its solution
一类变分方程解的有界性 |
| 2. | A variation equation problem on singular stochastic control
奇异型随机控制中的一个变分方程问题 |
| 3. | The explict structure of solution of a class of symmetric variational equation by stationary topy
一类平稳型对称变分方程解的显式结构 |
| 4. | Connexion of first integrals with particular solution to the variational equations for birkhoffian systems
系统的第一积分与其变分方程特解的联系 |
| 5. | In order to implement efg method through computer program , the discrete equation from the variational principle ( weak form ) and the numerical implementation are described
再次，论述了无网格伽辽金方法的位移近似函数和权函数，给出了变分方程及离散方程，以及数值求解的实现。 |
| 6. | As the first step , a variational function is derived from 3 - d time harmonic field maxwell equations and for x - cut y propagation lithium niobate waveguide , the according variational function can also be gotten by a similar process
本文首先推导了对于时谐场普遍问题的变分方程，进而对x切y传的铌酸锂波导进行研究。 |
| 7. | Lagrange multiplicator method is introduced in the numerical computation to release the constraint . galerkin method based on the variation principle is used to solve differential and integral equations
Galerkin方法是基于变分原理基础上的一种把微分方程或积分方程转化为等价的变分方程，通过离散变分方程求原方程数值解的方法。 |
| 8. | This paper discusses a variation equation problem in a class of singular stochastic control with stopping time , gives its solution under two different conditions , which is a one order continuous differentiable and concave function , and gives the exact form
摘要讨论了一类带停时的奇异型随机控制问题中的一个变分方程问题，并且在两种不同的情况下给出了该变分方程的解，即为一阶连续可导凹函数，并在两种情况下给出了此函数的具体形式。 |
| 9. | In this paper , we study the numerical solutions of these problems using galerkin boundary element , especially for the problem with open boundary such as the problems exterior to an open segment or an open curve in the plane . since the equivalent boundary integral equation for two dimensional laplace equation has constraint condition
因为把二维调和方程的边值问题转化为等价的边界积分方程时带有约束条件，用galerkin边界元方法求解带约束条件的变分方程，在数值离散时，我们采用lagrange乘子法处理约束条件。 |
| 10. | Applying variational method we analyze the existence and uniqueness for the solution of the corresponding boundary variational equation , truncated mrm boundary variational equation , and approximation truncated mrm boundary variational equation in detailed . we obtain the error estimation for various approximation solutions and construct the boundary integral method with constraint . we explain the principle for choosing the mesh size and the truncated number in mrm . finally the numerical examples show that the theoretical analysis is accord with the numerical experiment result
采用变分方法系统分析了相应问题的边界变分方程，截断的mrm边界变分方程与近似截断mrm边界变分方程解的存在唯一性，解释了网格宽度与mrm方法中截断数的选取原则，讨论了mrm方法中的迭代误差估计，给出了数值算例。 |
