On the approximate solution of nonlinear singular integral equations with positive index
This paper is devoted to investigating a class of nonlinear singular integral equations with a positive index on a simple closed smooth Jordan curve by the collocation method. Sufficient conditions are given for the convergence of this method in Holder space.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171296000531 |
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| _version_ | 1832563095191420928 |
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| author | S. M. Amer |
| author_facet | S. M. Amer |
| author_sort | S. M. Amer |
| collection | DOAJ |
| description | This paper is devoted to investigating a class of nonlinear singular integral equations
with a positive index on a simple closed smooth Jordan curve by the collocation method. Sufficient
conditions are given for the convergence of this method in Holder space. |
| format | Article |
| id | doaj-art-7a7d070afaeb4a23bd9ac1e8e2b838cd |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7a7d070afaeb4a23bd9ac1e8e2b838cd2025-02-03T01:20:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119238939610.1155/S0161171296000531On the approximate solution of nonlinear singular integral equations with positive indexS. M. Amer0Department of Mathematics, Faculty of Science, Zagazig University, EgyptThis paper is devoted to investigating a class of nonlinear singular integral equations with a positive index on a simple closed smooth Jordan curve by the collocation method. Sufficient conditions are given for the convergence of this method in Holder space.http://dx.doi.org/10.1155/S0161171296000531singular integral equationscollocation methodindex of integral equation. |
| spellingShingle | S. M. Amer On the approximate solution of nonlinear singular integral equations with positive index International Journal of Mathematics and Mathematical Sciences singular integral equations collocation method index of integral equation. |
| title | On the approximate solution of nonlinear singular integral equations with positive index |
| title_full | On the approximate solution of nonlinear singular integral equations with positive index |
| title_fullStr | On the approximate solution of nonlinear singular integral equations with positive index |
| title_full_unstemmed | On the approximate solution of nonlinear singular integral equations with positive index |
| title_short | On the approximate solution of nonlinear singular integral equations with positive index |
| title_sort | on the approximate solution of nonlinear singular integral equations with positive index |
| topic | singular integral equations collocation method index of integral equation. |
| url | http://dx.doi.org/10.1155/S0161171296000531 |
| work_keys_str_mv | AT smamer ontheapproximatesolutionofnonlinearsingularintegralequationswithpositiveindex |