Existence, uniqueness and smoothness results for second-kind volterra equations with weakly singular Kernels

Weimin Han

doi:10.1216/jiea/1181075819

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Existence, uniqueness and smoothness results for second-kind volterra equations with weakly singular Kernels

Journal article

Open access

Peer reviewed

Existence, uniqueness and smoothness results for second-kind volterra equations with weakly singular Kernels

Weimin Han

The Journal of integral equations and applications, Vol.6(3), pp.365-384

1994

DOI: 10.1216/jiea/1181075819

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Abstract

We consider second-kind Volterra equations with weakly singular kernels. When the kernels assume simple forms, we find analytic solution expressions and prove existence, uniqueness and smoothness properties. Similar results for some general cases are then proved by using an idea of Professor Kendall Atkinson.

Details

Title: Subtitle: Existence, uniqueness and smoothness results for second-kind volterra equations with weakly singular Kernels
Creators: Weimin Han
Resource Type: Journal article
Publication Details: The Journal of integral equations and applications, Vol.6(3), pp.365-384
DOI: 10.1216/jiea/1181075819
ISSN: 0897-3962
eISSN: 1938-2626
Language: English
Date published: 1994
Academic Unit: Mathematics
Record Identifier: 9983985943002771

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