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The properties of solutions of weakly singular integral equations

Published online by Cambridge University Press:  17 February 2009

G. Vainikko  and
A. Pedas
A. Pedas
Affiliation:
Department of Applied Mathematics, Tartu State University, 202 400, Tartu, Liivi 2, U.S.S.R.
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Abstract

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We examine the differential properties of the solution of the linear integral equation of the second kind, whose kernel depends on the difference of arguments and has an integrable singularity at the point zero. The derivatives of the solution of the equation have singularities at the end points of the domain of integration, and we derive precise estimates for these singularities.

Type
Research Article
Information
The ANZIAM Journal , Volume 22 , Issue 4 , April 1981 , pp. 419 - 430
Copyright
Copyright © Australian Mathematical Society 1981

References

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