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Some Generalized Gronwall-Bellman Type Impulsive Integral Inequalities and Their Applications
Author(s) -
Yuzhen Mi
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/353210
Subject(s) - mathematics , type (biology) , boundary value problem , integral equation , inequality , gronwall's inequality , value (mathematics) , differential (mechanical device) , mathematical analysis , mathematical optimization , statistics , ecology , engineering , biology , aerospace engineering
This paper investigates some generalized Gronwall-Bellman type impulsive integral inequalities containing integration oninfinite intervals. Some new results are obtained, which generalize some existing conclusions. Our result is also applied to study a boundaryvalue problem of differential equations with impulsive terms

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