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Δ-Gronwall-Bellman-Pachpatte Dynamic Inequalities and Their Applications on Time Scales

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In this article, with the help of Leibniz integral rule on time scales, we prove some new dynamic inequalities of Gronwall–Bellman–Pachpatte-type on time scales. These inequalities can be used as… Click to show full abstract

In this article, with the help of Leibniz integral rule on time scales, we prove some new dynamic inequalities of Gronwall–Bellman–Pachpatte-type on time scales. These inequalities can be used as handy tools to study the qualitative and quantitative properties of solutions of the initial boundary value problem for partial delay dynamic equation.

Keywords: time; dynamic inequalities; time scales; bellman pachpatte; gronwall bellman

Journal Title: Symmetry
Year Published: 2022

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