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

• 论文 • 上一篇    下一篇

A REGULARITY THEOREM FOR CERTAIN FOURTH-ORDER DIFFERENTIAL OPERATOR

刘颖范   

  1. Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China
  • 收稿日期:1994-12-31 出版日期:1996-06-18 发布日期:1996-06-18

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

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摘要： 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.

关键词: homeomorphism, linear isomorphism, interpolating inequality

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

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