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 homeomorp...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.展开更多
This paper provides a regularity theorem for certain fourth-order differential operator Bλ with λ. from which we have obtained two homoeomorphism classes in 'nonlinear case' or three linear isomorphism clas...This paper provides a regularity theorem for certain fourth-order differential operator Bλ with λ. from which we have obtained two homoeomorphism 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 vehiele in its moving process.展开更多
文摘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.
文摘This paper provides a regularity theorem for certain fourth-order differential operator Bλ with λ. from which we have obtained two homoeomorphism 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 vehiele in its moving process.