Existence and stability for some partial functional differential equations with infinite delay

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dc.contributor.authorEzzinbi, Khalil
dc.date.accessioned2021-01-29T13:35:55Z
dc.date.available2021-01-29T13:35:55Z
dc.date.issued2003-11-26
dc.description.abstractWe study the existence, regularity, and stability of solutions for some partial functional differential equations with infinite delay. We assume that the linear part is not necessarily densely defined and satisfies the Hille-Yosida condition on a Banach space X. The nonlinear term takes its values in space larger than X, namely the extrapolated Favard class of the extrapolated semigroup corresponding to the linear part. Our approach is based on the theory of the extrapolation spaces.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationEzzinbi, K. (2003). Existence and stability for some partial functional differential equations with infinite delay. Electronic Journal of Differential Equations, 2003(116), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13167
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectHille-Yosida operator
dc.subjectExtrapolation spaces
dc.subjectFavard class
dc.subjectRegularity
dc.subjectPartial functional differential equations
dc.subjectInfinite delay
dc.subjectMild solution
dc.subjectLinearized stability
dc.titleExistence and stability for some partial functional differential equations with infinite delay
dc.typeArticle

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