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Existence theorem for integral and functional integral equations with discontinuous kernels - MaRDI portal

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Existence theorem for integral and functional integral equations with discontinuous kernels (Q448631)

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scientific article; zbMATH DE number 6078689
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English
Existence theorem for integral and functional integral equations with discontinuous kernels
scientific article; zbMATH DE number 6078689

    Statements

    Existence theorem for integral and functional integral equations with discontinuous kernels (English)
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    7 September 2012
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    Summary: Existence of extremal solutions of nonlinear discontinuous integral equations of Volterra type is proved. This result is extended herein to functional Volterra integral equations (FVIEs) and to a system of discontinuous VIEs as well. Editorial remark: See the comment by \textit{K. A. Topolski} in [ibid. 2015, Article ID 698121, 3 p. (2015; Zbl 1433.45003)].
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    Volterra integral equations
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    functional integral equations
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