Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 377, Issue 2, Pages 853-862Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2010.12.002
Keywords
Integral inequality; Integral equation; Differential equation; Integro-differential equation; Uniform stability
Categories
Funding
- National Natural Science Foundation of China [10771118]
- Natural Science Foundation of Shandong Province [ZR2009AM011]
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In this paper, we generalize some integral inequalities to more general situations, and the inequalities of Pachpatte type are corollaries of our's. We establish bounds on the solutions, and we show the usefulness of our results in investigating the asymptotic behavior and the stability on the solutions of integral equations, differential equations and integro-differential equations with time delay. (c) 2010 Elsevier Inc. All rights reserved.
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