Pseudo-almost-automorphic solutions to some neutral partial functional differential equations in Banach spaces
This work aims to investigate the existence and uniqueness of pseudo-almost-automorphic solutions for some neutral partial functional differential equations in Banach spaces. Recall that the new concept of pseudo-almost-automorphy generalizes the one of the pseudo-almost-periodicity and it has been...
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| Veröffentlicht in: | Nonlinear analysis 2009-02, Vol.70 (4), p.1641-1647 |
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| container_title | Nonlinear analysis |
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| creator | Ezzinbi, Khalil Fatajou, Samir N’guérékata, Gaston Mandata |
| description | This work aims to investigate the existence and uniqueness of pseudo-almost-automorphic solutions for some neutral partial functional differential equations in Banach spaces. Recall that the new concept of pseudo-almost-automorphy generalizes the one of the pseudo-almost-periodicity and it has been recently introduced in the literature. Here we assume that the undelayed part is not necessarily densely defined and satisfies the well-known Hille–Yosida condition, the delayed parts are assumed to be pseudo-almost-automorphic with respect to the first argument and Lipschitz continuous with respect to the second argument. |
| doi_str_mv | 10.1016/j.na.2008.02.039 |
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Scientific computation</subject><subject>Partial differential equations</subject><subject>Partial differential equations, boundary value problems</subject><subject>Partial differential equations, initial value problems and time-dependant initial-boundary value problems</subject><subject>Pseudo-almost-automorphic solutions</subject><subject>Sciences and techniques of general use</subject><issn>0362-546X</issn><issn>1873-5215</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNp1kM-L1TAQx4so-Fy9e-xFb-1OkibpetNFXWFBDwrewux0wubRJt0kFfzv7fMt3oSB-cHnO8N8m-a1gF6AMJfHPmIvAcYeZA_q6klzEKNVnZZCP20OoIzs9GB-Pm9elHIEAGGVOTTxW-FtSh3OSyq1w62mJeX1PlBb0rzVkGJpa9qbhdvIW804tyvmGvbst0gnYi-n4D1njn_n_LDhWRli-wEj0n1bViQuL5tnHufCrx7zRfPj08fv1zfd7dfPX67f33aktK6d8tYrPaAZ91BIWsjJsvIgFRkLepRiMOZuuDIT0GStHPVgke7IGLSGhLpo3p73rjk9bFyqW0IhnmeMnLbilBwNCH0C4QxSTqVk9m7NYcH82wlwJ2Pd0UV0J2MdSLcbu0vePO7GQjj7jJFC-aeTAqyUVu3cuzPH-6O_AmdXKHAknkJmqm5K4f9H_gDOBI7I</recordid><startdate>20090215</startdate><enddate>20090215</enddate><creator>Ezzinbi, Khalil</creator><creator>Fatajou, Samir</creator><creator>N’guérékata, Gaston Mandata</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20090215</creationdate><title>Pseudo-almost-automorphic solutions to some neutral partial functional differential equations in Banach spaces</title><author>Ezzinbi, Khalil ; Fatajou, Samir ; N’guérékata, Gaston Mandata</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c355t-3f7f354a68a683ac512d7e3f023c6705821466b496d0cd7728547acbc66a76c13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Exact sciences and technology</topic><topic>Functional analysis</topic><topic>Hille–Yosida condition</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Neutral partial functional differential equation</topic><topic>Numerical analysis</topic><topic>Numerical analysis. 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| subjects | Exact sciences and technology Functional analysis Hille–Yosida condition Mathematical analysis Mathematics Neutral partial functional differential equation Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Pseudo-almost-automorphic solutions Sciences and techniques of general use |
| title | Pseudo-almost-automorphic solutions to some neutral partial functional differential equations in Banach spaces |
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