Journal
JOURNAL OF MATHEMATICAL INEQUALITIES
Volume 4, Issue 1, Pages 67-76Publisher
ELEMENT
DOI: 10.7153/jmi-04-08
Keywords
Time scale; Gronwall inequality; dynamic equation
Categories
Funding
- National Natural Science Foundation of China [10971018]
- Natural Science Foundation of Shandong Province [20080440633]
- China Postdoctoral Science Foundation [20080440633]
- Shanghai Postdoctoral Scientific Program [09R21415200]
- Education Department of Shandong Province [J08LI52]
- Doctoral Foundation of Binzhou University [2006Y01]
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In this paper, we investigate some Gronwall type inequalities on time scales, which provide explicit bounds on unknown functions. Our results unify and extend some continuous inequalities and their corresponding discrete analogues. Two applications of the main results are given in the end of this paper.
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