某四阶微分算子的一个正则性定理  

A Regularity Theorem for a Certain Fourth-orderDifferential Operator

作　　者：刘颖范[1] 

机构地区：[1]南京航空航天大学理学院应用数学教研室

出　　处：《应用数学和力学》1996年第6期507-514,共8页Applied Mathematics and Mechanics

摘　　要：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．这对描述某飞行器在其运行过程中某些类双向稳定性质是有用与方便的．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. It is useful and convenient to explain certain types of stability properties in both directions of some flying vehicle in its moving process.

关 键 词：线性同构 内插不等式 微分算子 正则性定理 

分 类 号：O175.3[理学—数学]