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

Sonia Seyed Allaei; Zhan Wen Yang; Hermann BRUNNER; Giovanni Monegato

doi:10.1216/JIE-2015-27-3-325

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

Sonia Seyed Allaei, Zhan Wen Yang, Hermann BRUNNER^*, Giovanni Monegato

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

34 Citations (Scopus)

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.

Original language	English
Pages (from-to)	325-342
Number of pages	18
Journal	Journal of Integral Equations and Applications
Volume	27
Issue number	3
DOIs	https://doi.org/10.1216/JIE-2015-27-3-325
Publication status	Published - Sept 2015

Scopus Subject Areas

Numerical Analysis
Applied Mathematics

User-Defined Keywords

Cordial Volterra integral equation
Existence and regularity of solutions
Volterra integral equation of the third kind

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10.1216/JIE-2015-27-3-325

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title = "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.",

keywords = "Cordial Volterra integral equation, Existence and regularity of solutions, Volterra integral equation of the third kind",

author = "Allaei, {Sonia Seyed} and Yang, {Zhan Wen} and Hermann BRUNNER and Giovanni Monegato",

note = "The research of the first author was co-financed by the Hong Kong Research Grants Council (RGC project No. 1369648) and a CEMAT grant under the framework of the project PTDC/MAT/101867/2008 funded by Fundacao para a Ciencia e a Tecnologia (FCT), Portugal. The research of the third author was supported by the Hong Research Grants Council (GRF Grant HKBU 200211).",

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AU - Allaei, Sonia Seyed

AU - Yang, Zhan Wen

AU - BRUNNER, Hermann

AU - Monegato, Giovanni

N1 - The research of the first author was co-financed by the Hong Kong Research Grants Council (RGC project No. 1369648) and a CEMAT grant under the framework of the project PTDC/MAT/101867/2008 funded by Fundacao para a Ciencia e a Tecnologia (FCT), Portugal. The research of the third author was supported by the Hong Research Grants Council (GRF Grant HKBU 200211).

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N2 - 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.

AB - 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.

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KW - Existence and regularity of solutions

KW - Volterra integral equation of the third kind

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DO - 10.1216/JIE-2015-27-3-325

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JO - Journal of Integral Equations and Applications

JF - Journal of Integral Equations and Applications

IS - 3

ER -

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

Abstract

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