Integro-differential equations with Fredholm operator by the derivative of the highest order in Banach spaces and its applications

zbMath1261.45007MaRDI QIDQ1934208

Valentinavich Mihail Falaleev

Publication date: 28 January 2013

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

zbMATH Keywords

Banach spacesCauchy problemFredholm operatorgeneralized solutionviscoelasticitygeneralized functionintegro-differential equationfundamental operator-functionJordan setCauchy-Dirchlet problem

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Linear constitutive equations for materials with memory (74D05) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

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