A　HOMEOMORPHISM　OR　LINEAR　HOMEOMORPHISM　THEOREM　FOR　CERTAIN　2n^（th）－ORDER　DIFFERENTIAL　OPERATOR　WITH　A　PARAMETER  

作　　者：刘颖范[1] 

机构地区：[1]南京航空航天大学

出　　处：《Annals of Differential Equations》1996年第4期452-460,共9页微分方程年刊（英文版）

摘　　要：This paper provides a regularity theorem for certain 2nth-order differential operator Bλthat arises in considering some moving behaviors of certain objects, which includes (n + 2)homeomorphisms and extended homeomorphisms in 'real nonlinear case' or (n + 3) linearhomeomorphisms and extened linear homeomorphisms in 'complex linear case' for this operator. It is useful to illustrate some stabilities in both directions of certain objects in theirmoving processes.This paper provides a regularity theorem for certain 2nth-order differential operator Bλthat arises in considering some moving behaviors of certain objects, which includes (n + 2)homeomorphisms and extended homeomorphisms in 'real nonlinear case' or (n + 3) linearhomeomorphisms and extened linear homeomorphisms in 'complex linear case' for this operator. It is useful to illustrate some stabilities in both directions of certain objects in theirmoving processes.

关 键 词：HOMEOMORPHISM linear homeomorphism 'R-case' 'C-case 

分 类 号：O175[理学—数学]