ON METHOD OF SOLUTION TO ONE CLASS OF SINGULAR INTEGRAL EQUATIONS WITH SINGULARITY OF ORDER ONE

• 作者: Pingrun Li
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: SINGULAR integral equation SINGULARITY of order ONE linear ALGEBRAIC equations HOLDER continuous function CLASS H generalized Plemelj formula
• 年，卷（期）: 2015,（2）
• 页码范围: 159-164
• 页数: 6页
• 分类号: O175.5

摘要

In this paper, we study one kind of singular integral equations with singularity of order one. By the generalized Plemelj formula, this class of equations are transformed into a system of linear algebraic equations. In particular, we prove the existence of solution to the equation. The general solutions and the conditions of solvability are obtained in function class H.