Applications of one- and two-dimensional Volterra inequalities in differential equations of the hyperbolic type
type: Item
instance of: scholarly article
title: Applications of one- and two-dimensional Volterra inequalities in differential equations of the hyperbolic type
zbMATH Open document ID: 1095.26012
DOI: 10.1155/S0161171203208073
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-12-03T00:00:00Z
full work available at URL: https://eudml.org/doc/52637
review text: Summary: Some variants of one-dimensional and two-dimensional integral inequalities of the Volterra type are applied to study the behaviour properties of the solutions to various boundary value problems for partial differential equations of the hyperbolic type. Moreover, new types of integral inequalities for one and two variables, being a generalization of the Gronwall inequality, are presented and used in the theory of nonlinear hyperbolic differential equations.
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 2012623
zbMATH Keywords: integral inequalities of Volterra type
zbMATH Keywords: Gronwall inequality
zbMATH Keywords: Volterra integral equation
author: Lechoslaw Hącia
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2012623