一类正则Hamilton系统反问题的判别方法

Some criteria method for inverse problem of canonical Hamiltonian system

针对正则Ｈａｍｉｌｔｏｎ系统反问题，从变分理论和偏微分方程一般解理论角度出发，给出了关于一类偏微分方程组可由正则Ｈａｍｉｌｔｏｎ系统有序置换解析表示的充要条件；并进一步给出了此类方程组的判别检验程序；最后结合弹性力学问题给出了应用。

For the inverse problem of Hamiltonian system,two criteria methods are gotten for thepartial differential equations to be ordered permutable analytically represented bv an infinitedimensional canonical Han1iltonian equations,according to the variational principle and its inverseproblern and the theory of general solutions of partial differential equations.Later, someexamined procedures and examples of a mixed elastic problem are gotten.