On solvability in the class of distributions of degenerate integro-differential equations in Banach spaces

DOI10.26516/1997-7670.2020.34.77zbMath1474.45025OpenAlexW3110665866MaRDI QIDQ2228431

Mikhail Valentinovich Falaleev

Publication date: 17 February 2021

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

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1361

zbMATH Keywords

Banach spacesresolventconvolutionfundamental solutionFredholm operatorgeneralized functionCauchy-Dirichlet problem

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05) Abstract integral equations, integral equations in abstract spaces (45N05)

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Cites Work

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• Degenerate integro-differential operators in Banach spaces and their applications
• Integro-differential equations with degeneration in Banach spaces and their applications in the mathematical theory of elasticity
• Regularizing properties and propagations of singularities for thermoelastic plates