本文在高维空间情形，研究了大型空间结构和柔性机器人的控制中提出的一类新型的包含边界双线性形式的本征值问题，利用Pohozaev恒等式，分析了本征元的边界形态．

In this paper, we consider a kind of eigenvalue problem which contains a boundar ybilinear form. The boundary shape of eigenelements is relative to the controllability and the observability of the control systems (for one dimension case, see [1-4]). Let be an eigenelement, λ be an eigenvalue. The eigenvalue problem is Then we prove that does not hold for problem (1).