Second-order neutral delay-differential equations with piecewise constant time dependence.
type: Item
instance of: scholarly article
title: Second-order neutral delay-differential equations with piecewise constant time dependence.
zbMATH Open document ID: 1035.34093
DOI: 10.1016/S0022-247X(02)00303-7
author: George Seifert
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-07-30T00:00:00Z
review text: The author establishes conditions for the existence and uniqueness of almost-periodic solutions to second-order neutral delay-differential equations with almost-periodic time dependence of the form \[ (x(t)+px(t-1))''=qx([t])+f(t), \] where \([\, \cdot \,]\) is the greatest integer function, \(p\) and \(q\) are nonzero constants, and \(f\) is Bohr almost-periodic.
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 1956840
zbMATH Keywords: neutral delay-differential equations
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: almost periodic solutions.
reviewed by: Qiru Wang
MaRDI profile type: Publication
cites work: Q3975198
cites work: Almost periodic differential equations
cites work: Theory of functional differential equations. 2nd ed
cites work: Q4549043
cites work: A new almost-periodic type of solutions to second-order neutral delay differential equations with piecewise constant argument
cites work: Pseudo almost periodic solutions of some differential equations
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description: scientific article; zbMATH DE number 1956840