Necessary and sufficient well-posedness conditions for a convolution equation of the second kind with even kernel on a finite interval.
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Voronin, A.F. (2008)
Sibirskij Matematicheskij Zhurnal
Bernstein, S. (1999)
Zeitschrift für Analysis und ihre Anwendungen
Ladopoulos, E. G. (2003)
International Journal of Mathematics and Mathematical Sciences
Atkinson, Kendall, Chien, David Da-Kwun, Seol, Jaehoon (2000)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Slodička, Marián (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Ruszlan H. Farzan (1990)
Banach Center Publications
Nikolaos I. Ioakimidis, Pericles S. Theocaris (1978)
Aplikace matematiky
The Lobatto-Jacobi numerical integration rule can be extended so as to apply to the numerical evaluation of Cauchy type principal value integrals and the numerical solution of singular intergral equations with Cauchy type kernels by reduction to systems of linear equations. To this end, the integrals in such a singular integral equation are replaced by sums, as if they were regular integrals, after the singular integral equation is applied at appropriately selected points of the integration interval....
R. Smarzewski, H. Malinowski (1983)
Applicationes Mathematicae
Ashour, Samir A. (1999)
International Journal of Mathematics and Mathematical Sciences
I.H. Sloan, P.M. Anselone (1987)
Numerische Mathematik
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