On Some Vector-Valued Inequalities of Gronwall Type

Author

Luor, Dah-Chin

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-01-22

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Luor, Dah-Chin. 2014. On Some Vector-Valued Inequalities of Gronwall Type. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1015183

Modern Language Association (MLA)

Luor, Dah-Chin. On Some Vector-Valued Inequalities of Gronwall Type. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1015183

American Medical Association (AMA)

Luor, Dah-Chin. On Some Vector-Valued Inequalities of Gronwall Type. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1015183

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1015183