关键词: Direct method of solution, conditions of solvability, characteristic singular integral operator, associate singular integral equations

Abstract:

In this article, by introducing characteristic singular integral operator and
associate singular integral equations (SIEs), the authors discuss the direct method of solution for a class of singular integral equations with certain analytic inputs. They obtain both the conditions of solvability and the solutions in closed form. It is noteworthy that the method is different from the classical one that is due to Lu.

Key words: Direct method of solution, conditions of solvability, characteristic singular integral operator, associate singular integral equations