关于某类四阶微分算子的单一性

The Unicity of Some Four-Order Differential Operators

以飞行器飞行平稳性状为背景,研究对带非线性参数N_λ(x)的四阶非对称微分算子A_λ当关于参数λ的单一性问题。通过对带算子内积的实部Re(A_λy,y)进行先验估计的方法,得到完全无范数约束条件的单一性定理。

Deals with the unicity problem of some four-order nonsymmetric differentialoperators, which, with nonlinear parameter N_λ(X), based on the stable stateof some sort of flying objects. This problem is worked on with priori estimationfor Re (A_λy,y), resulting in the unicity theorem not bounded by norm.