On Some Vector‐Valued Inequalities of Gronwall Type

Dah-Chin Luor

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: In this paper we established some vector‐valued inequalities of Gronwall type in ordered Banach spaces. Our results can be applied to investigate systems of real‐valued Gronwall‐type inequalities. We also show that the classical Gronwall‐Bellman‐Bihari integral inequality can be generalized from composition operators to a variety of operators, which include integral operators, maximal operators, geometric mean operators, and geometric maximal operators.

Date: 2014
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https://doi.org/10.1155/2014/973586

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:973586

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