On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation
type: Item
instance of: scholarly article
title: On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation
zbMATH Open document ID: 1327.45011
DOI: 10.1134/S0001434615050247
author: D. Kharzeev
published in: Mathematical Notes
publication date: 2015-10-14T00:00:00Z
review text: The authors present local stability and blow up of solutions of an abstract nonlinear Volterra integral equation. They obtain several results about the noncontinuable solution of the Volterra integral equation with a continuous and polar operator-valued kernel and the blow-up of such a solution. A simple example of a Volterra integral equation whose noncontinuable solution is unbounded but not infinitely large is presented.
reviewed by: Seenith Sivasundaram
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 6494183
zbMATH Keywords: abstract nonlinear Volterra integral equation
zbMATH Keywords: local solvability
zbMATH Keywords: noncontinuable solution
zbMATH Keywords: solution blow-up
MaRDI profile type: Publication
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full work available at URL: s0001434615050247
OpenAlex ID: W2297290369
description: scientific article; zbMATH DE number 6494183