Existence results for impulsive neutral evolution integrodifferential equations with infinite delay
type: Item
instance of: scholarly article
title: Existence results for impulsive neutral evolution integrodifferential equations with infinite delay
zbMATH Open document ID: 1179.45019
author: N. Annapoorani
author: Krishnan Balachandran
published in: Nonlinear Analysis. Hybrid Systems
publication date: 2009-11-13T00:00:00Z
review text: Integrodifferential equations are encountered in many areas of science, where it is necessary to take into account aftereffect or delay (for example, in control theory, biology, ecology and medicine). Especially, one always describes a model which possesses hereditary properties by integrodifferential equations in practice. The theory of integrodifferential equations with impulse actions has not yet been fully investigated, when compared to that of impulsive differential equations and integrodifferential equations. Recently neutral impulsive differential and integrodifferential equations have received considerable interest from researchers. In this paper, the authors prove the existence of mild solutions for impulsive neutral evolution integrodifferential equations with infinite delay in Banach spaces. The results are obtained by using the analytic semigroup theory and the Krasnoselski-Schaefer type fixed point theorem. An example is provided to illustrate the theory.
reviewed by: Kun Soo Chang
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 5632681
zbMATH Keywords: impulsive neutral evolution integrodifferential equations
zbMATH Keywords: infinite delay
zbMATH Keywords: Krasnoselski-Schaefer type fixed point theorem
zbMATH Keywords: analytic semigroup theory
zbMATH Keywords: mild solutions
zbMATH Keywords: Banach spaces
MaRDI profile type: Publication
full work available at URL: j.nahs.2009.06.004
OpenAlex ID: W1998025672
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DOI: 10.1016/J.NAHS.2009.06.004
description: scientific article; zbMATH DE number 5632681