超复函数论的非线性Hilbert边值问题

NONLINEAR HILBERT BOUNDARY VALUE PROBLEMS IN HYPERCOMPLEX FUNCTION THEORY

本文基于连续性方法研究了Douglis意义超复函数论的非线性Hilbert边值问题的可解性,解可用逐次逼近法构造出来.

This paper investigates solvability of the nonlinear Hilbert boundary value problem in the hypercomplex function theory in the Douglis' sense on the basis of the continuation method, and the solution may be obtained through successive approximations.