A Massera-type criterion for almost periodic solutions of higher-order delay or advance abstract functional differential equations
type: Item
instance of: scholarly article
title: A Massera-type criterion for almost periodic solutions of higher-order delay or advance abstract functional differential equations
zbMATH Open document ID: 1081.34071
DOI: 10.1155/S1085337504406046
author: Ha Binh Minh
author: Nguyen Van Minh
published in: Abstract and Applied Analysis
publication date: 2005-04-29T00:00:00Z
full work available at URL: https://eudml.org/doc/52085
review text: The authors consider a higher-order abstract functional-differential equation of delay or advanced type. Spectral conditions, such as a new Massera-type criterion, are obtained for the existence of an almost-periodic mild solution of the equation with the same structure of spectrum as that of the forcing term. See also \textit{S.-N. Chow} and \textit{J. K. Hale} [Funkc. Ekvacioj, Ser. Int. 17, 31--38 (1974; Zbl 0297.47048)], \textit{J. L. Massera} [Duke Math. J. 17, 457--475 (1950; Zbl 0038.25002)] and \textit{T. Naito, Nguyen van Minh} and \textit{Jong Son Shin} [Stud. Math. 145, No. 2, 97--111 (2001; Zbl 0982.34074)].
reviewed by: Mingshu Peng
Mathematics Subject Classification ID: 34K14
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 34C27
zbMATH DE Number: 2163607
zbMATH Keywords: abstract functional-differential equations
zbMATH Keywords: almost-periodic solutions
zbMATH Keywords: spectrum
zbMATH Keywords: Massera-type criterion
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2163607