adjoint problem

An algorithm based on the control theory of partial differential equations is proposed. It is also shown that the Null field method originally developed in the problem of acoustic scattering can be used to solve the corresponding adjoint problem of the optimal problem.

提出基于偏微分方程控制方法的一种算法，并证明原用于处理散射问题的Null-field method可用来求解优化问题的随伴问题。

besides, by giving a dirac eigenvalue problem example and studying the eigenvalue and eigenfunction of it and its adjoint problem, we can obtain an eigenfunction expansion theorem.

此外讨论了一个非自伴的问题，对它和它的伴随问题的特征值、特征函数进行了详细的讨论，得到了一特征展开定理。

The problem is reduced to a parallel one on complex matrices by using the complex adjoint matrix related to each quaternion matrix.

利用与每个四元数矩阵相关联的复伴随矩阵，问题被简化为关于复数矩阵的并行问题。

by using the so-called method of conversion, the relation between the solvability of riemann problem and the solution of its adjoint problem are set up.

利用所谓的转化法，建立了Riemann问题的可解性与其相联问题的解之间的关系。

indefinite formally j-self-adjoint sturm-liouville problem

不定形式J-自伴Sturm-Liouville问题

based of the synoptic facts and the simple form of green's function for the solution of the elliptic adjoint boundary-value problem, an iterative method suitable for solving the second-order elliptic self-adjoint partial differential equations arising in meteorology is given. it is quite general.

本文从天气学的事实出发，应用自共轭椭圆型边值问题解的简单格林函数表达式，建立适合解动力气象学中椭圆型方程狄氏边界值问题的数值迭代解法，这个方法有较普遍的意义。

Uniform Convergence of ExPonential Box Scheme for a Self Adjoint Problem with a Small Parameter

小参数自共轭问题Exponential Box格式的一致收敛性

by virtue of eigenvalue problem and its adjoint problem, we can obtain a sufficient and essential condition to judge the self-adjointness of dirac eigenvalue problem.

本文通过Dirac特征值问题和它的伴随问题的讨论，得到了判断自伴性的一个充分必要条件。