Almost periodic solutions of neutral functional differential equations with nonautonomous operator
type: Item
instance of: scholarly article
title: Almost periodic solutions of neutral functional differential equations with nonautonomous operator
zbMATH Open document ID: 0841.34076
author: Rong Yuan
published in: Chinese Annals of Mathematics. Series B
publication date: 1996-07-21T00:00:00Z
review text: Neutral functional differential systems of the form \[ d/dt D(t) x_t= f(t, x_t)+ g(t, x_t)\tag{1} \] and \(D(t) F= F(0)- \int^0_{- r} [d_\theta \mu(t+ s)] F(\theta)\), \(|\int^0_{- s} [d_\theta\mu(t+ \theta)|\leq l(s) \sup_{- s\leq \theta\leq 0} |F(\theta)|\) are investigated. Some existence theorems on almost periodic solutions for almost periodic equations (1) are obtained. The demonstrations are based on Lyapunov functionals. The results extend some earlier results mentioned in the paper.
Mathematics Subject Classification ID: 34K14
Mathematics Subject Classification ID: 34C27
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 832253
zbMATH Keywords: neutral functional-differential systems
zbMATH Keywords: almost periodic solutions
zbMATH Keywords: Dyapunov functionals
reviewed by: Tadeusz Dłotko
MaRDI profile type: Publication
full work available at URL: ol0480630
OpenAlex ID: W2034355000
Wikidata QID: Q81087352
DOI: 10.1021/OL0480630
description: scientific article; zbMATH DE number 832253