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Bounds for certain nonlinear dynamic inequalities on time scales. (English) Zbl 1193.34184

Summary: We investigate some new nonlinear dynamic inequalities on time scales. Our results unify and extend some integral inequalities and their corresponding discrete analogues. The inequalities given here can be used to investigate the properties of certain dynamic equations on time scales.

MSC:

34N05 Dynamic equations on time scales or measure chains
34A40 Differential inequalities involving functions of a single real variable
45N05 Abstract integral equations, integral equations in abstract spaces
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References:

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