On direct method of solution for a class of singular integral equations. (English) Zbl 1125.45003
Summary: 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.
MSC:
45E05 | Integral equations with kernels of Cauchy type |