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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |