On nonlinear two-point boundary value problems for impulsive differential-algebraic problems
type: Item
instance of: scholarly article
title: On nonlinear two-point boundary value problems for impulsive differential-algebraic problems
zbMATH Open document ID: 1197.34005
published in: Applied Mathematics and Computation
publication date: 2009-07-10T00:00:00Z
review text: The author considers a boundary value problem for first order impulsive differential-algebraic equations with causal operators. The existence of extremal solutions for the problem is proved by applying a well known monotone iterative technique. The main result (Theorem 2) is illustrated by means of an example. The existence of quasi-solutions for the problem is also discussed. The results are interesting as differential-algebraic equations appear in the mathematical modelling of various problems of applied nature.
reviewed by: Bashir Ahmad
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34B37
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 5577406
zbMATH Keywords: causal operators
zbMATH Keywords: impulsive differential-algebraic problems
zbMATH Keywords: differential inequalities
zbMATH Keywords: extremal solutions
zbMATH Keywords: quasi-solutions
author: Tadeusz Jankowski
MaRDI profile type: Publication
full work available at URL: j.amc.2009.03.030
OpenAlex ID: W2005065141
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DOI: 10.1016/J.AMC.2009.03.030
description: scientific article; zbMATH DE number 5577406