On some vector-valued inequalities of Gronwall type (Q1725428)
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scientific article; zbMATH DE number 7023432
| Language | Label | Description | Also known as |
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| English | On some vector-valued inequalities of Gronwall type |
scientific article; zbMATH DE number 7023432 |
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On some vector-valued inequalities of Gronwall type (English)
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14 February 2019
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Summary: 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.
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