Continuability of solutions of a perturbed inclusion with Volterra operators

DOI10.1007/s10958-007-0115-4zbMath1160.47048OpenAlexW1985580636MaRDI QIDQ941950

Aleksander Bulgakov, A. A. Efremov, V. V. Vasil'yev

Publication date: 3 September 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0115-4

zbMATH Keywords

Volterra operatorcompact operatorcontinuation of solutionsclosed multi-functionlower semicontinuous multi-function

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Set-valued operators (47H04) Perturbations of nonlinear operators (47H14) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Cites Work

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• Selected Selection Theorems
• Extensions and selections of maps with decomposable values
• Perturbation of a convex-valued operator by a set-valued map of Hammerstein type with non-convex values, and boundary-value problems for functional-differential inclusions

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