Peng Xiao-lin, He Guang-qian. The Establishment of Boundary Integral Equations by Generalized Functions[J]. Applied Mathematics and Mechanics, 1986, 7(6): 497-504.
Citation: Peng Xiao-lin, He Guang-qian. The Establishment of Boundary Integral Equations by Generalized Functions[J]. Applied Mathematics and Mechanics, 1986, 7(6): 497-504.

The Establishment of Boundary Integral Equations by Generalized Functions

  • Received Date: 1985-05-07
  • Publish Date: 1986-06-15
  • By the theory of generalized functions this paper introduces a specific generalized function δθP, by which, together with its various derivatives, the boundary integral equations and its arbitrary derivatives of any sufficiently smooth function can be established. These equations have no non-integral singularities. For a problem defined by linear partial differential operators, the partial differential equations of the problem can always be converted into boundary integral equations so long as the relevant fundamental solutions exist.
  • loading
  • [1]
    Love,A.E.H.,A Treatise on the Mathematical Theory of Elasticity, 4th edition, Dover, New York (1944).
    [2]
    Pearson, C. E., Theoretical Elasticty (1959).
    [3]
    Villaggio, P., Qualitative Methods in Elasticity(1977).
    [4]
    Fredholm, J., Solution d'un Probleme fondamental de.la Theorie de I'Elasticite, Arch. Mat.Astronomi och Fysik, 2 (1906),1-8.
    [5]
    Kellogg, O. D, Foundations of Potential Theory(1953).
    [6]
    Sternberg, W. J. and T. L. Smith, The Theory of Potential and Spherical Harmonics (1944).
    [7]
    Muskhelishvili, N. I., Singular Integral Equations (1953).
    [8]
    Mikhlin, S.G,Integral Equations(1957).
    [9]
    Gel'fand, I.and G.Silov,Generalized Functions,1-4 (1964).
    [10]
    Flanders,H.,Differential Forms(1963).
  • 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 (1390) PDF downloads(655) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return