Some new Gronwall-Bellman-type inequalities on time scales and their applications (Q1790037)

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scientific article; zbMATH DE number 6950784
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Some new Gronwall-Bellman-type inequalities on time scales and their applications
scientific article; zbMATH DE number 6950784

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    Some new Gronwall-Bellman-type inequalities on time scales and their applications (English)
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    10 October 2018
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    Summary: 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.
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