Blow-up solutions of second-order differential inequalities with a nonlinear memory term

We consider the Cauchy problem for second-order nonlinear ordinary differential inequalities with a nonlinear memory term. We obtain blow-up results under some conditions on the initial data. We also give an application to a semilinear hyperbolic equation in a bounded domain.

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Bibliographic Details
Published in:	Nonlinear analysis Vol. 75; no. 6; pp. 3122 - 3129
Main Authors:	Fino, Ahmad Z., Jazar, Mustapha
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01-04-2012
Subjects:	Blow-up Cauchy problem Differential inequalities Inequalities Mathematical analysis Nonlinearity Semilinear second-order hyperbolic equations 35L71 Differential inequalities Semilinear second-order hyperbolic equations 26D10 35B44 Blow-up
Online Access:	Get full text
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Description
Summary:	We consider the Cauchy problem for second-order nonlinear ordinary differential inequalities with a nonlinear memory term. We obtain blow-up results under some conditions on the initial data. We also give an application to a semilinear hyperbolic equation in a bounded domain.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2011.12.010