Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (6): 533-540.

• Articles • Previous Articles     Next Articles

A REGULARITY THEOREM FOR CERTAIN FOURTH-ORDER DIFFERENTIAL OPERATOR

Liu Yingfan   

  1. Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China
  • Received:1994-12-31 Online:1996-06-18 Published:1996-06-18

Abstract: 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.

Key words: homeomorphism, linear isomorphism, interpolating inequality

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals