一类n阶方程组的非线性Riemann-Hilbert边值问题

Nonlinear Riemann-Hilbert Problem for a Class of wth Order Systems

本文研究n阶方程组的非线性Riemann-Hilbert边值问题,建立该问题的解的表达式,并利用先验估计和Banach压缩映像原理证明解的存在性.

In this paper the representation formulae of the solution to nonlinear Riemann-Hilbert problem for a class of nth order systems are established, and the existence of the solution is proved by use of a priori estimation and Banach mapping theorem.