Liu Yingfan. A Regularity Theorem for a Certain Fourth-order Differential Operator[J]. Applied Mathematics and Mechanics, 1996, 17(6): 507-514.
Citation: Liu Yingfan. A Regularity Theorem for a Certain Fourth-order Differential Operator[J]. Applied Mathematics and Mechanics, 1996, 17(6): 507-514.

A Regularity Theorem for a Certain Fourth-order Differential Operator

  • Received Date: 1994-12-31
  • Publish Date: 1996-06-15
  • 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.
  • loading
  • [1]
    A. L. Greensite, Analysis and Design of Space Vehicle Flight, Control System, Spartan, New York(1970).
    [2]
    W. T. Raid, A comparison theorem for selfadjoint differential equations of second order, Ann. Math. 65(1957), 197-202.
    [3]
    T. Kusano and B. Singh, Positive solution of functional differential equations with singular nonlinear terms, Nonlinear Analysis, 8(1984), 1081-1090.
    [4]
    F. C. Titcltmarch. Eigenfunction Eapensions Associated with Second-Order Differential Equations, Oxford Universtity Press, London(1955).
    [5]
    R. A. Admas, Sobolev Space, Springer-Verlag, New York(1975).
    [6]
    J. Wloka, Patial Differential Equations, Cambridge University Press, London(1987).
    [7]
    V. Barbu, Nonlinear Semigroups and Differential Equatons in Banach Space, Noordhoff, Leyden(1976).
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1767) PDF downloads(498) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return