Finite-part singular integral approximations in Hilbert spaces
2004 ◽
Vol 2004
(52)
◽
pp. 2787-2793
Keyword(s):
Some new approximation methods are proposed for the numerical evaluation of the finite-part singular integral equations defined on Hilbert spaces when their singularity consists of a homeomorphism of the integration interval, which is a unit circle, on itself. Therefore, some existence theorems are proved for the solutions of the finite-part singular integral equations, approximated by several systems of linear algebraic equations. The method is further extended for the proof of the existence of solutions for systems of finite-part singular integral equations defined on Hilbert spaces, when their singularity consists of a system of diffeomorphisms of the integration interval, which is a unit circle, on itself.
2014 ◽
Vol 13
(01)
◽
pp. 1-21
◽
1981 ◽
Vol 22
(4)
◽
pp. 539-552
◽
2017 ◽
Vol 2017
◽
pp. 1-6
◽
2007 ◽
Vol 2007
◽
pp. 1-12
◽
1991 ◽
Vol 22
(3)
◽
pp. 59-73
◽
1994 ◽
Vol 48
(2)
◽
pp. 257-266
◽
Keyword(s):
1999 ◽
Vol 22
(1)
◽
pp. 155-160
◽