Pseudo almost automorphic solutions for dissipative differential equations in Banach spaces

This work aims to study the existence and uniqueness of pseudo compact almost automorphic solution for some dissipative ordinary and functional differential equations. We prove the existence and uniqueness of pseudo compact almost automorphic solution for dissipative differential equations in Banach...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 351; no. 2; pp. 765 - 772
Main Authors Ezzinbi, Khalil, Fatajou, Samir, N'Guérékata, Gaston Mandata
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 15.03.2009
Elsevier
Subjects
Attractiveness
Difference and functional equations, recurrence relations
Differential equation
Dissipativeness
Exact sciences and technology
Finite differences and functional equations
Functional analysis
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Pseudo compact almost automorphy
Sciences and techniques of general use
Dissipativeness
Attractiveness
Differential equation
Pseudo compact almost automorphy
Functional
Mathematical analysis
Functional equation
Banach space
Application
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Summary:This work aims to study the existence and uniqueness of pseudo compact almost automorphic solution for some dissipative ordinary and functional differential equations. We prove the existence and uniqueness of pseudo compact almost automorphic solution for dissipative differential equations in Banach spaces and then we apply this result to show the existence of pseudo compact almost automorphic solutions for some functional differential equations.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2008.11.017