On semilinear differential inclusions in Banach spaces with nondensely defined operators

DOI10.1007/s11784-011-0042-3zbMath1205.34076OpenAlexW2052603129MaRDI QIDQ626555

Pietro Zecca, Valerii V. Obukhovskij

Publication date: 18 February 2011

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-011-0042-3

zbMATH Keywords

fixed pointCauchy problemmeasure of noncompactnesstopological degreemild solutioncontrol systemoptimal solutionintegrated semigroupsemilinear differential inclusioncontinuous dependencemultivalued mapcondensing maphille-yosida operatornondensely defined operator

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Ordinary differential inclusions (34A60) Evolution inclusions (34G25) Integrated semigroups (47D62)

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