On some abstract functional integro-differential equations
type: Item
instance of: scholarly article
title: On some abstract functional integro-differential equations
zbMATH Open document ID: 0728.45013
author: N. E. Zubov
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1991-01-01T00:00:00Z
review text: The authors study the existence, uniqueness, continuation, and asymptotic behaviour of solutions of a certain type of integro-differential equations on a Banach space, which are abstract models of partial differential and partial integro-differential equations arising in heat flow in materials with memory, viscoelasticity, and reaction-diffusion problems. Examples are also given to illustrate the results.
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45M05
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 74D99
zbMATH DE Number: 4203037
zbMATH Keywords: abstract functional integro-differential equations
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: continuation
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: Banach space
zbMATH Keywords: heat flow in materials with memory
zbMATH Keywords: viscoelasticity
zbMATH Keywords: reaction-diffusion problems
reviewed by: C. Constanda
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4203037