Existence, uniqueness and data dependence for the solutions of some integro-differential equations of mixed type in Banach space
type: Item
instance of: scholarly article
title: Existence, uniqueness and data dependence for the solutions of some integro-differential equations of mixed type in Banach space
zbMATH Open document ID: 1062.45006
DOI: 10.4171/ZAA/1194
author: Viorica Mureşan
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2004-10-28T00:00:00Z
full work available at URL: https://eudml.org/doc/169700
review text: The author studies existence, uniqueness and data dependence for the solutions of some integro-differential equations of mixed type in Banach space by using Picard and weakly Picard operators' technique and suitable Bielecki norms.
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 2111235
zbMATH Keywords: integro-differential equations
zbMATH Keywords: fixed points
zbMATH Keywords: weakly Picard operators
zbMATH Keywords: data dependence
zbMATH Keywords: Banach space
zbMATH Keywords: Bielecki norms
reviewed by: V. Lakshmikantham
MaRDI profile type: Publication
cites work: On the number of solutions of nonlinear equations in ordered Banach spaces
cites work: Q4369900
cites work: Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
cites work: Existence of approximate solution to abstract nonlocal Cauchy problem
cites work: Q4365181
cites work: Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
cites work: Q4523670
cites work: Monotone iterative technique for differential equations in a Banach space
cites work: Solutions of nonlinear integrodifferential equations of mixed type in Banach spaces
cites work: Q3994493
cites work: Q3904867
cites work: Q4946032
cites work: Q4705372
cites work: Q3808645
cites work: Q4285975
OpenAlex ID: W2011094281
description: scientific article; zbMATH DE number 2111235