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We deal with the simultaneous approximation of a set of functions which are given on a smooth d-dimensional surface F in R such that R \ F is connected. We approximate these functions by normal derivatives of finite linear combinations of vector functions D^EiAx — 2/fc). Here .E are the columns of a fundamental solution E_ of a Douglis-Nirenberg-elliptic differential operator, and the sequence of points (yjOfcLi C R \ F is dense in K C R \ F where K is a C-smooth (n — l)-dimensional compact surface.

Approximation by normal derivatives of fundamental solutions of elliptic differential operator systems