Nonlinear integral equations singular in the dependent variable
✍ Scribed by Donal O’Regan; Ravi P. Agarwal; Kanishka Perera
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 169 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0893-9659
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📜 SIMILAR VOLUMES
A numerical technique to determine the singular behavior of the solution of Cauchy singular integral equations (CSIE) with variable coefficients is proposed. The fundamental solution, which is a solution of the corresponding homogeneous equation, is constructed by a quadraturecollocation scheme. Thi
The application of a collocation method with respect to the Chebyshev nodes of second kind together with a Newton iteration to a class of nonlinear Cauchy singular integral equations is discussed. The investigation of the convergence of the Newton method is based on the stability of the respective c
It is well-known that this inequality has a key role in the analysis of partial differential equations with singular coefficients. Moreover the nonexistence of positive solutions has strong connections with Hardy' s inequality.