An Existence Theorem for Abel Integral Equations
- 1 October 1974
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 5 (5) , 729-736
- https://doi.org/10.1137/0505071
Abstract
An existence and smoothness theorem is given for the Abel integral equation o K(s, t)f(t)(s tP) dt g(s), 0 < =< T, with given p > 0 and 0< a < 1. Particular attention is given to the behavior of g(s) andf(s) about 0.Keywords
This publication has 5 references indexed in Scilit:
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- Product integration for the generalized Abel equationMathematics of Computation, 1972
- A product integration method for a class of singular first kind Volterra equationsNumerische Mathematik, 1971
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- Inversion of Abel’s Integral Equation by Means of Orthogonal PolynomialsSIAM Journal on Numerical Analysis, 1969