Explicit solutions of Cauchy singular integral equations with weighted Carleman shift

Existence and uniqueness of solutions, as well as their explicit representations, are obtained for singular integral equations with weighted Carleman shift which cannot be reduced to binomial boundary value problems.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2010-11, Vol.371 (1), p.128-133
Main Authors: Castro, L.P., Rojas, E.M.
Format: Article
Language:English
Subjects:
Boundary value problems
Carleman shift
Exact sciences and technology
Integral equations
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, boundary value problems
Projection methods
Sciences and techniques of general use
Singular integral equations
Solvability theory
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Description
Summary:Existence and uniqueness of solutions, as well as their explicit representations, are obtained for singular integral equations with weighted Carleman shift which cannot be reduced to binomial boundary value problems.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2010.04.050