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Explicit bounds on certain integral inequalities. (English) Zbl 0996.26008
In this paper, the author establish some explicit bounds on the retarded Gronwall-Bellman-Bihari type integral inequalities. In addition, two variable generalizations of these inequalities are obtained and applied to the study of boundedness, uniqueness and continuous dependence of the solutions of the initial boundary value problem for hyperbolic partial delay differential equations.

MSC:
26D10 Inequalities involving derivatives and differential and integral operators
26D15 Inequalities for sums, series and integrals
35R10 Partial functional-differential equations
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