Complete second order linear differential equations with almost periodic solutions
type: Item
instance of: scholarly article
title: Complete second order linear differential equations with almost periodic solutions
zbMATH Open document ID: 0754.34062
DOI: 10.1016/0022-247X(92)90283-J
author: Tijun Xio
author: Jin Liang
published in: Journal of Mathematical Analysis and Applications
publication date: 1992-09-27T00:00:00Z
review text: The author considers equations of the type \(u''(t)+Bu'(t)+Au(t)=0\) \((t\geq 0)\) in a complex Banach space, where \(A\) and \(B\) are densely defined closed linear operators. He characterizes equations having almost periodic solutions using results of \textit{H. O. Fattorini} [Second order linear differential equations in Banach spaces, Amsterdam (1985; Zbl 0564.34063)] and of the authors [Pac. J. Math. 142, 175-195 (1990; Zbl 0731.34070)].
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34C27
zbMATH DE Number: 62871
zbMATH Keywords: linear differential equations in a Banach space
zbMATH Keywords: almost periodic solutions
reviewed by: Svatoslav Staněk
MaRDI profile type: Publication
cites work: Characterizations of almost periodic strongly continuous cosine operator functions
cites work: Q5563566
cites work: Q3678037
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: On complete second order linear differential equations in Banach spaces
description: scientific article; zbMATH DE number 62871