Global solutions of initial value problems for nonlinear integral-differential equations of mixed type in Banach spaces.
type: Item
instance of: scholarly article
title: Global solutions of initial value problems for nonlinear integral-differential equations of mixed type in Banach spaces.
zbMATH Open document ID: 1043.45011
author: Lishan Liu
author: Zhaocai Hao
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2002-01-01T00:00:00Z
review text: The authors investigate the existence and the uniqueness of solutions of initial value problems for nonlinear integral-differential equations of mixed type for some class in Banach spaces by using the fixed point theorem of \textit{H. Mönch} [Nonlinear Anal., Theory Methods Appl. 4, 985--999 (1980; Zbl 0462.34041)].
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 1874268
zbMATH Keywords: nonlinear integral-differential equation of mixed types
zbMATH Keywords: measure of non-compactness
zbMATH Keywords: global solution
zbMATH Keywords: Banach space
zbMATH Keywords: initial value problems
reviewed by: Chuangan Hu
MaRDI profile type: Publication
Recommended article: Q5468107
Recommended article: Q4502924
Recommended article: Global solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces
Recommended article: Q4798539
Recommended article: Existence theorems of global solutions of initial value problems for nonlinear integrodifferential equations of mixed type in Banach spaces and applications
Recommended article: Q4761567
Recommended article: Initial value problems for a nonlinear integro-differential equation of mixed type in Banach spaces
Recommended article: Solutions of nonlinear integrodifferential equations of mixed type in Banach spaces
Recommended article: Q4879733
Recommended article: On global solutions of nonlinear integral equations in Banach spaces
description: scientific article; zbMATH DE number 1874268