Some New Gronwall‐Bellman‐Type Inequalities on Time Scales and Their Applications

Bin Zheng, Qinghua Feng and Fanwei Meng

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We establish some new Gronwall‐Bellman‐type inequalities on time scales. These inequalities are of new forms compared with other Gronwall‐Bellman‐type inequalities established so far in the literature. Based on them, new bounds for unknown functions are derived. For illustrating the validity of the inequalities established, we present some applications for them, in which the boundedness for solutions for some certain dynamic equations on time scales is researched.

Date: 2013
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https://doi.org/10.1155/2013/625063

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:625063

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