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In this paper,at first we transformed the nonlinear elliptic system of 2m first order equations into the complex form, then by use the results on the Riemann-Hilbert problem for nonlinear elliptic complex equation of first order, the method of continuity, the Schauder fixed-point theorem and the Leray-Schauder theorem, we proved that the modified Riemann-Hilbert boundary value problem for the complex system with some conditions is solvable.

本文先将较一般的多个未知函数的一阶椭圆型实方程组化为复方程组,然后讨论这些复方程组在某些条件下的一些边值问题的可解性。这里所考虑的方程组既包含线性的,也包含非线性的,比广义超解析函数所满足的方程组还要广,又本文主要研究较一般的Riemann-Hilbert边值问题,先给出这种边值问题解的先验估计式,然后用参数开拓法及Leray-Schauder定理证明这种边值问题的可解性结果。

推荐网络例句

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了,但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场,你等着挨绳子吧!

Several theories about reigniting and extinguishing of the arc have been refered.

本文综合考虑了几种电弧重燃和熄灭理论。