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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:
26D10Inequalities involving derivatives, differential and integral operators
26D15Inequalities for sums, series and integrals of real functions
35R10Partial functional-differential equations
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References:
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