Abstract Using a modification of the approach previously developed by the authors, we show that finding solutions of one class of systems of linear Fredholm integral equations of the third kind on the real line with finitely many multipoint singularities is equivalent to finding solutions of a system of linear Fredholm integral equations of the second kind on the real line with additional conditions imposed on the kernels and the free term. The existence, nonexistence, uniqueness, and nonuniqueness of solutions of systems in this class are studied.

中文翻译：

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一类多点奇点实线上第三类线性Fredholm积分方程组

摘要 使用作者先前开发的方法的修改，我们表明在具有有限多个多点奇点的实线上找到一类第三类线性 Fredholm 积分方程系统的解等效于找到一个系统的解实线上的第二类线性 Fredholm 积分方程，对核和自由项施加附加条件。研究了该类系统解的存在、不存在、唯一性和非唯一性。