Abstract
First, we establish some new nonlinear dynamic inequalities in two independent vari- ables ofPachpatte type, that might beuseful tools inthe study ofqualitative properties ofsolutions of certain classes of dynamic equations on time scales. These results extend recent inequalities fordifference equations tothe general time-scale setting. Then, after establishing anabla Jensen's inequality, we relate several inequalities of Hilbert-Pachpatte type that extend and unify recent continuous and discrete inequalities of this type.
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