SOLUTION OF A SINGULAR INTEGRAL-EQUATION INVOLVING 2 INTERVALS ARISING IN THE THEORY OF WATER-WAVES

Authors
CHAKRABARTI A GEORGE AJ
Citation
A. Chakrabarti et Aj. George, SOLUTION OF A SINGULAR INTEGRAL-EQUATION INVOLVING 2 INTERVALS ARISING IN THE THEORY OF WATER-WAVES, Applied mathematics letters, 7(5), 1994, pp. 43-47
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
7
Issue
5
Year of publication
1994
Pages
43 - 47
Database
ISI
SICI code
0893-9659(1994)7:5<43:SOASII>2.0.ZU;2-3
Abstract
Using the well-known inverse of the Cauchy singular integral operator on a single interval along with certain standard results associated wi th singular integrals, the general solution of a singular integral equ ation in a double interval arising in the linear theory of water waves , whose kernel involves a logarithmic as well as a Cauchy type singula rity, has been obtained. The solutions are found to agree with the kno wn ones.