Solution of a singular integral equation on a system of intervals
β Scribed by T. S. Polyanskaya
- Publisher
- Springer US
- Year
- 1990
- Tongue
- English
- Weight
- 256 KB
- Volume
- 48
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
A quick and efficient method of solution of a singular integral equation of the first kind involving a logarithmic singularity is explained. (~) 2003 Elsevier Science Ltd. All rights reserved.
## Abstract A class of nonlinear singular integral equations of Cauchy type on a finite interval is transformed to an equivalent class of (discontinuous) boundary value problems for holomorphic functions in the complex unit disk. Using recent results on the solvability of explicit RiemannβHilbert p
A hypersingular integral equation in two disjoint intervals is solved by using the solution of Cauchy type singular integral equation in disjoint intervals. Also a direct function theoretic method is used to determine the solution of the same hypersingular integral equation in two disjoint intervals