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<identifier>oai:HAL:hal-00617634v1</identifier>
<datestamp>2017-12-21</datestamp>
<setSpec>type:ART</setSpec>
<setSpec>subject:math</setSpec>
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<setSpec>collection:UNIV-AG</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Weighted pseudo almost automorphic functions and applications to abstract differential equations</title>
<creator>Blot, Joël</creator>
<creator>Mophou, Gisèle Massengo</creator>
<creator>Pennequin, Denis</creator>
<creator>N'Guérékata, Gaston</creator>
<contributor>Marin Mersenne - Pour les Mathématiques, l'Informatique et l'Interdisciplinarité ; Université Panthéon-Sorbonne (UP1)</contributor>
<contributor>Département de Mathématiques et Informatique (D.M.I.) ; Université des Antilles et de la Guyane (UAG) - Université des Antilles (Pôle Guadeloupe) ; Université des Antilles (UA) - Université des Antilles (UA)</contributor>
<description>International audience</description>
<source>ISSN: 0362-546X</source>
<source>Nonlinear Analysis: Theory, Methods and Applications</source>
<publisher>Elsevier</publisher>
<identifier>hal-00617634</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00617634</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00617634</source>
<source>Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2010, 72 (1), pp.430-438</source>
<language>en</language>
<subject lang=en>almost automorphic</subject>
<subject lang=en>pseudo almost automorphic</subject>
<subject lang=en>composition</subject>
<subject lang=en>weithed pseudo almost automorphic</subject>
<subject lang=en>$C_0$-semigroup of bounded operators</subject>
<subject lang=en>abstract differential equation</subject>
<subject lang=en>mild solution</subject>
<subject>44A35; 42A85; 42A75</subject>
<subject>[MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>This paper is concerned with weighted pseudo almost automorphic functions, which are more general and complicated than weighted pseudo almost periodic functions. Using these properties, we establish an existence and uniqueness theorem for pseudo almost automorphic mild solutions to semilinear differential equations in a Banach spaces which extends known results.</description>
<date>2010</date>
</dc>
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