Gronwall-OuIang-Type Integral Inequalities on Time Scales

被引:0
作者
Ailian Liu
Martin Bohner
机构
[1] Shandong Economic University,School of Statistics and Mathematics
[2] Missouri University of Science and Technology,Department of Mathematics and Statistics
来源
Journal of Inequalities and Applications | / 2010卷
关键词
Chain Rule; Integral Inequality; Discrete Analogue; Nonoscillatory Solution; Nonnegative Constant;
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摘要
We present several Gronwall-OuIang-type integral inequalities on time scales. Firstly, an OuIang inequality on time scales is discussed. Then we extend the Gronwall-type inequalities to multiple integrals. Some special cases of our results contain continuous Gronwall-type inequalities and their discrete analogues. Several examples are included to illustrate our results at the end.
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