Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (1): 1-8.

• Articles •     Next Articles

THE DIFFERENTIAL INTEGRAL EQUATIONS ON SMOTH CLOSED ORIENTABLE MANIFOLDS

 QIAN Tao, ZHONG Tong-De   

  1. Faculty of Science and Technology, The University of Macau P.O.Box 3001, Macau(Via Hong Kong) Institute of Mathematics, Xiamen University, Xiamen 361005, China
  • Online:2001-01-06 Published:2001-01-06
  • Supported by:

    1Project supported by the Bilateral Science and Technology Collaboration Program of Australia 1998 and the Natural Science Foundation of China (No. 19771068)

Abstract:

Using integration by parts and Stokes’ formula the authors give a new defini-tion of Hadamard principal value of higher order singular integrals with Bochner-Martinelli kernel on smooth closed orientable manifolds in Cn. The Plemelj formula and composite formula of higher order singular integral are obtained. Differential integral equations on smooth closed orientable manifolds are treated by using the composite formula.

Key words: Bochner-Martinelli kernel, Plemelj formula, Composite formula, Higher or-der singular integral, Differential integral Equation

CLC Number: 

  • 32A25
Trendmd