Compact almost automorphic solutions for some nonlinear dissipative differential equations in Banach spaces. (19th May 2018)

• Record Type: Journal Article
• Authors: Drisi, Nadia; Es-sebbar, Brahim; Ezzinbi, Khalil
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 7(2018)
• Page Start: 825
• Page End: 841
• Publication Date: 2018-05-19
• Subjects: Attractive solutions -- compact almost automorphy -- dissipative differential equations; 34C27, 35B15, 35R10; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1423328
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: The aim of this work is to prove the existence and uniqueness of compact almost automorphic solutions for some dissipative differential equations in Banach spaces when the input function is only almost automorphic in the sense of Stepanov. Examples and a numerical simulation are provided to illustrate the theoretical findings.