On Some Vector-Valued Inequalities of Gronwall Type

Dah-Chin Luor

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:973586

DOI: 10.1155/2014/973586

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