Some New Gronwall-Bellman-Type Inequalities on Time Scales and Their Applications

Joint Authors

Feng, Qinghua
Meng, Fanwei
Zheng, Bin

Source

Journal of Applied Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-11-20

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Zheng, Bin& Feng, Qinghua& Meng, Fanwei. 2013. Some New Gronwall-Bellman-Type Inequalities on Time Scales and Their Applications. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-486098

Modern Language Association (MLA)

Zheng, Bin…[et al.]. Some New Gronwall-Bellman-Type Inequalities on Time Scales and Their Applications. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-486098

American Medical Association (AMA)

Zheng, Bin& Feng, Qinghua& Meng, Fanwei. Some New Gronwall-Bellman-Type Inequalities on Time Scales and Their Applications. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-486098

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-486098