Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case

Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case
Tác giả: GVC.TS. Phan Đức Tuấn, TS. Cộng Sự 1, Cộng Sự 2, TS. Cộng Sự 3, TS. Cộng Sự 4
Nơi đăng: Analysis and Applications, Số: 1(13), Trang: 1-12, Năm: 2015, Loại bài viết: Bài báo, Quốc gia: Quốc tế.

Abstract:

 By means of Riemann boundary value problems and of certain convenient systems of linear algebraic equations, this paper deals with the solvability of a class of singular integral equations with rotations and degenerate kernel with in the case of a coefficient vanishing on the unit circle. All the possibilities about the index of the coefficients in the corresponding equations are considered and described in detail, and explicit formulas for their solutions are obtained. An example of application of the method is shown at the end of the last section.