Abstract

We consider the \(\mathbb {R}\)-linear problem (also known as the Markushevich problem and the generalized Riemann boundary value problem) and the convolution integral equation of the second kind on a finite interval (also known as the truncated Wiener–Hopf equation). We find new conditions for correct solvability of the \(\mathbb {R} \)-linear problem and the truncated Wiener–Hopf equation.

中文翻译：

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关于$$ \ mathbb {R} $$-线性问题和截断的Wiener-Hopf方程

摘要

我们考虑\（\ mathbb {R} \）-线性问题（也称为Markushevich问题和广义Riemann边值问题）和有限区间上的第二种卷积积分方程（也称为截断的Wiener） –Hopf方程）。我们找到了\（\ mathbb {R} \）-线性问题和截断的Wiener-Hopf方程的正确解的新条件 。