Integral equations of the third kind in $L^p$ spaces

Teresa Diogo; Arvet Pedas; Gennadi Vainikko

doi:10.1216/jie.2020.32.417

Abstract

We analyze the existence and uniqueness of solutions in $L^{p}$ spaces to a class of integral equations of the third kind with weakly singular kernels.

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Teresa Diogo. Arvet Pedas. Gennadi Vainikko. "Integral equations of the third kind in $L^p$ spaces." J. Integral Equations Applications 32 (4) 417 - 427, Winter 2020. https://doi.org/10.1216/jie.2020.32.417

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Received: 2 December 2019; Revised: 31 December 2019; Accepted: 22 January 2020; Published: Winter 2020

First available in Project Euclid: 5 January 2021

Digital Object Identifier: 10.1216/jie.2020.32.417

Subjects:

Primary: 45A05 , 45E10

Keywords: integral equation of the third kind , weakly singular kernel

Abstract

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