This article is cited in 1 paper

Mathematical models of phenomena and processes

On the Riemann–Hilbert problem and the oblique derivative problem at the plane with sections along the circumference

P. A. Krutitskii

M. V. Lomonosov Moscow State University

Abstract: The researches done before (Math. Modell. 2(4), 143–154) which concern the solving of the oblique derivative problem for harmonic functions at the set of sections are continued. The question about equivalence of the oblique derivative problem at the plane with sections along the circumference for harmonic functions and corresponding Riemann–Hilbert problem is studied. The general enough case for which both problems can be solved in an explicit form is considered.

UDC: 517.956.225+517.544.8

Received: 23.05.1990

Bibliographic databases:

• 
•