Almost periodicity and stability for solutions to functional differential equations with infinite delay
type: Item
instance of: scholarly article
title: Almost periodicity and stability for solutions to functional differential equations with infinite delay
zbMATH Open document ID: 0879.34073
author: Wolfgang M. Ruess
author: William H. Summers
published in: Differential and Integral Equations
publication date: 1997-12-10T00:00:00Z
review text: The subject of the paper is almost periodicity and stability of solutions to a Banach space valued functional differential equation with infinite delay. While the linear part of the equation is a multivalued accretive operator, the nonlinear part with delay is assumed to be Lipschitz continuous. Under local conditions the semigroup method is applied to derive almost periodicity properties and stability results for solutions of the equation in question. The general results are then applied to the delay logistic equation from population dynamics and the Goodwin oscillator with infinite delay as a model for biochemical reaction sequences.
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K25
zbMATH DE Number: 1095809
zbMATH Keywords: functional differential equation
zbMATH Keywords: infinite delay
zbMATH Keywords: almost periodicity
zbMATH Keywords: stability
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1095809