EXISTENCE, UNIQUENESS AND REGULARITY OF SOLUTIONS TO A CLASS OF THIRD-KIND VOLTERRA INTEGRAL EQUATIONS

We analyze the existence, uniqueness and regularity of solutions to a class of third-kind Volterra integral equations, including equations with weakly singular kernels. Of particular interest are those integral equations that can be transformed into cordial Volterra integral equations whose underlyi...

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Bibliographic Details
Published in:The Journal of integral equations and applications 2015-09, Vol.27 (3), p.325-342
Main Authors: ALLAEI, SONIA SEYED, YANG, ZHAN-WEN, BRUNNER, HERMANN
Format: Article
Language:English
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Summary:We analyze the existence, uniqueness and regularity of solutions to a class of third-kind Volterra integral equations, including equations with weakly singular kernels. Of particular interest are those integral equations that can be transformed into cordial Volterra integral equations whose underlying integral operator may be non-compact.
ISSN:0897-3962
1938-2626
DOI:10.1216/JIE-2015-27-3-325