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On Heavisides operational solution of a Volterra's integral equation, when its nucleus is a function of \((x - \xi)\). - MaRDI portal

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On Heavisides operational solution of a Volterra's integral equation, when its nucleus is a function of \((x - \xi)\). (Q573111)

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scientific article; zbMATH DE number 2556719
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English
On Heavisides operational solution of a Volterra's integral equation, when its nucleus is a function of \((x - \xi)\).
scientific article; zbMATH DE number 2556719

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    On Heavisides operational solution of a Volterra's integral equation, when its nucleus is a function of \((x - \xi)\). (English)
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    1931
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    Verf. behandelt die lineare \textit{Volterra}sche Integralgleichung mit einem nur von \((x - \xi)\) abhängenden Kern mit Hilfe der \textit{Heaviside}schen Operatorenrechnung und gibt einige Beispiele. Ein Ausdruck für den lösenden Kern wird ebenfalls gegeben. In entsprechender Weise werden ferner gewöhnliche lineare Differentialgleichungen mit konstanten Koeffizienten, Integrodifferentialgleichungen und Systeme von Integral- bzw. Integrodifferentialgleichungen behandelt, wobei der Kern bzw. die Kerne Funktionen von \((x - \xi)\) allein sind. (IV 9.)
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