On a singular integral equation with log kernel and its application
We used function theoretic method to solve a singular integral equation with logarithmic kernel in two disjoint finite intervals where the unknown function satisfying the integral equation may be bounded or unbounded at the nonzero finite endpoints of the interval concerned. An appropriate solution...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/35630 |
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| _version_ | 1832565367177740288 |
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| author | Sudeshna Banerjea Chiranjib Sarkar |
| author_facet | Sudeshna Banerjea Chiranjib Sarkar |
| author_sort | Sudeshna Banerjea |
| collection | DOAJ |
| description | We used function theoretic method to solve a singular integral
equation with logarithmic kernel in two disjoint finite intervals
where the unknown function satisfying the integral equation may be
bounded or unbounded at the nonzero finite endpoints of the
interval concerned. An appropriate solution of this integral
equation is then applied to solve the problem of scattering of
time harmonic surface water waves by a fully submerged thin
vertical barrier with a single gap. |
| format | Article |
| id | doaj-art-33e400aa1b4f4ab885e897dc3ef6ab34 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-33e400aa1b4f4ab885e897dc3ef6ab342025-02-03T01:07:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/3563035630On a singular integral equation with log kernel and its applicationSudeshna Banerjea0Chiranjib Sarkar1Department of Mathematics, Jadavpur University, Kolkata 700032, IndiaDepartment of Mathematics, Jadavpur University, Kolkata 700032, IndiaWe used function theoretic method to solve a singular integral equation with logarithmic kernel in two disjoint finite intervals where the unknown function satisfying the integral equation may be bounded or unbounded at the nonzero finite endpoints of the interval concerned. An appropriate solution of this integral equation is then applied to solve the problem of scattering of time harmonic surface water waves by a fully submerged thin vertical barrier with a single gap.http://dx.doi.org/10.1155/IJMMS/2006/35630 |
| spellingShingle | Sudeshna Banerjea Chiranjib Sarkar On a singular integral equation with log kernel and its application International Journal of Mathematics and Mathematical Sciences |
| title | On a singular integral equation with log kernel and its
application |
| title_full | On a singular integral equation with log kernel and its
application |
| title_fullStr | On a singular integral equation with log kernel and its
application |
| title_full_unstemmed | On a singular integral equation with log kernel and its
application |
| title_short | On a singular integral equation with log kernel and its
application |
| title_sort | on a singular integral equation with log kernel and its application |
| url | http://dx.doi.org/10.1155/IJMMS/2006/35630 |
| work_keys_str_mv | AT sudeshnabanerjea onasingularintegralequationwithlogkernelanditsapplication AT chiranjibsarkar onasingularintegralequationwithlogkernelanditsapplication |