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On a Class of Gronwall-Bellman Type Inequalities
Department of Mathematics, Princess Noura Bint Abdurehman University, Riyadh, KSA
- 1 Department of Mathematics, Princess Noura Bint Abdurehman University, Riyadh, KSA
Advances in Pure Mathematics·Volume 04 (2014)·Pages 289–294·Published 6 June 2014·DOI10.4236/apm.2014.46038
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Abstract
The aim of the present paper is to establish some new integral inequalities of Gronwall type involving functions of two independent variables which provide explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain partial differential and integral equations.
KeywordsIntegral InequalitiesTwo Independent VariablesPartial Differential EquationsNondecreasingNonincreasing
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