Certain Nonlinear Integral Inequalities and Their Applications

Several new retarded integral inequalities of Gronwall-Bellman-Pachpatte type are presented which generalize the inequalities to the more general nonlinear case in the literature and provide explicit bounds on unknown functions. These results include many existing ones as special cases and can be us...

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Bibliographic Details
Main Authors: Yazhou Tian, Min Fan, Yuangong Sun
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2017/8290906
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Summary:Several new retarded integral inequalities of Gronwall-Bellman-Pachpatte type are presented which generalize the inequalities to the more general nonlinear case in the literature and provide explicit bounds on unknown functions. These results include many existing ones as special cases and can be used as tools in the qualitative analysis of certain classes of integrodifferential equations.
ISSN:1026-0226
1607-887X