## Journal of Integral Equations and Applications

### Existence, uniqueness and regularity of solutions to a class of third-kind Volterra integral equations

#### Abstract

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.

#### Article information

Source
J. Integral Equations Applications, Volume 27, Number 3 (2015), 325-342.

Dates
First available in Project Euclid: 17 December 2015

https://projecteuclid.org/euclid.jiea/1450388938

Digital Object Identifier
doi:10.1216/JIE-2015-27-3-325

Mathematical Reviews number (MathSciNet)
MR3435803

Zentralblatt MATH identifier
1329.45001

#### Citation

Allaei, Sonia Seyed; Yang, Zhan-wen; Brunner, Hermann. Existence, uniqueness and regularity of solutions to a class of third-kind Volterra integral equations. J. Integral Equations Applications 27 (2015), no. 3, 325--342. doi:10.1216/JIE-2015-27-3-325. https://projecteuclid.org/euclid.jiea/1450388938

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