This paper provides several linear isomorphism theorems for certain nonsymmetric differential operators of sixth order under proper topologies about some complex parameters.
给出了某类六阶非对称微分算子在一些合适拓扑下关于复参数的几个线性同构定理。
This paper provides a regularity theorem for a certain fourth-order differential operator Bλ with λ, from which we have obtainod two homeomorphism classes in "nonlinear case" or three linear isomorphism classes in "linear case" about this operator respectively.
本文给出了某带参数λ的四阶微分算子Bλ的一个正则性定理,由此我们分别获得了关于该算子在“非线性情形”的二个同胚类及在“线性情形”的三个线性同构类。