Compact almost automorphic solutions to integral equations with infinite delay

Given a ∈ L 1 ( R ) and the generator A of an L 1 -integrable resolvent family of linear bounded operators defined on a Banach space X , we prove the existence of compact almost automorphic solutions of the semilinear integral equation u ( t ) = ∫ − ∞ t a ( t − s ) [ A u ( s ) + f ( s , u ( s ) ) ]...

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Bibliographic Details
Published in:	Nonlinear analysis Vol. 71; no. 12; pp. 6029 - 6037
Main Authors:	Henríquez, Hernán R., Lizama, Carlos
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Ltd 15.12.2009 Elsevier
Subjects:	Banach space Compact almost automorphic function Delay Exact sciences and technology Generators Integral equations Integral resolvent family Mathematical analysis Mathematics Nonlinearity Operator theory Operators Scalars Sciences and techniques of general use Semilinear integro-differential equations Several complex variables and analytic spaces secondary Integral resolvent family Compact almost automorphic function primary Semilinear integro-differential equations Semi linear equation 45N05 Nonlinear analysis primary 43A60 Delay equation Resolvent Integral equation Mathematical model Integrodifferential equation 47J35 secondary 47D60
ISSN:	0362-546X, 1873-5215
Online Access:	Get full text
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