The properties of solutions of weakly singular integral equations
- 1 April 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- Vol. 22 (4) , 419-430
- https://doi.org/10.1017/s0334270000002769
Abstract
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.Keywords
This publication has 3 references indexed in Scilit:
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- On weakly singular Fredholm integral equations with displacement kernelsJournal of Mathematical Analysis and Applications, 1976
- Analyticity of solutions of mildly singular integral equationsCommunications on Pure and Applied Mathematics, 1965