A system of Volterra integral equations with blowing up solutions
type: Item
instance of: scholarly article
title: A system of Volterra integral equations with blowing up solutions
zbMATH Open document ID: 1362.45011
published in: Colloquium Mathematicum
publication date: 2016-11-18T00:00:00Z
Mathematics Subject Classification ID: 45G15
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 45M20
Mathematics Subject Classification ID: 80A25
zbMATH DE Number: 6654813
zbMATH Keywords: systems of nonlinear Volterra integral equations
zbMATH Keywords: nontrivial solutions
zbMATH Keywords: blowing up solution
zbMATH Keywords: positive solution
zbMATH Keywords: combustion processes
zbMATH Keywords: monotonicity methods
author: Wojciech Mydlarczyk
MaRDI profile type: Publication
full work available at URL: cm6842-1-2016
OpenAlex ID: W2512923223
DOI: 10.4064/CM6842-1-2016
review text: The author studies a system of nonlinear Volterra integral equations arising in the modeling of combustion processes. The main results are the existence of a unique nontrivial (positive) solution (Theorem 2.1), and respectively, the existence of a blowing up solution (Theorem 2.2). The approach involves the use of monotonicity methods.
reviewed by: Sergiu Aizicovici
description: scientific article; zbMATH DE number 6654813