THE ESTABLISHMENT OF BOUNDARY INTEGRAL EQUATIONS BY GENERALIZED FUNCTIONS

By the theory of generalized functions this paper introduces a specific generalizedfunction δθβ,by which,togehter with its various derivatives,the boundary integralequations and its arbitrary derivatives of any sufficiently smooth function can beestablished.These equations have no non-integral singlarities.For a problem defined bylinear partial differential operators,the partial differential equations of the problem canalways be converted into boundary integral equations so long as the relevant fundamentalsolutions exist.