Continuous dependence of solutions for integrodifferential equations with infinite delay
type: Item
instance of: scholarly article
title: Continuous dependence of solutions for integrodifferential equations with infinite delay
zbMATH Open document ID: 0635.45018
DOI: 10.1016/0022-247X(88)90251-X
author: Takashi Kaminogo
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: The author considers the continuous dependence of solutions of initial functions for the integrodifferential equation \(x'=h(t,x)+\int^{t}_{- \infty}q(t,s,x(s))ds,\) \(t\geq 0\), \(x(t)=\phi(t),\) \(-\infty <t\leq 0\), where \(\phi \in X_ g\) is an infinite function, \(X_ g\) being the space of continuous functions \(\phi: (-\infty,0]\to R^ n\), and h,q are continuous.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 4034364
zbMATH Keywords: continuous dependence
zbMATH Keywords: initial functions
reviewed by: V. Lakshmikantham
MaRDI profile type: Publication
cites work: Q3324260
cites work: Stability and periodic solutions of ordinary and functional differential equations
cites work: Q4163814
cites work: Continuous dependence for some functional differential equations
cites work: Q5531649
Recommended article: Continuous dependence for integrodifferential equations with infinite delay
Recommended article: Q4984406
Recommended article: Existence and continuous dependence results for nonlinear differential inclusions with infinite delay
Recommended article: Q4020325
Recommended article: Existence and continuous dependence results for semilinear functional differential inclusions with infinite delay
Recommended article: Q2934426
Recommended article: Solutions to non-autonomous integrodifferential equations with infinite delay
Recommended article: Existence, uniqueness, and continuous dependence of solutions of delay-differential equations with infinite delays in a Banach space
Recommended article: Continuity in functional differential equations with infinite delay
Recommended article: Q5335532
description: scientific article; zbMATH DE number 4034364