Gronwall-OuIang-Type Integral Inequalities on Time Scales
被引:0
作者:
Ailian Liu
论文数: 0引用数: 0
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机构:Shandong Economic University,School of Statistics and Mathematics
Ailian Liu
Martin Bohner
论文数: 0引用数: 0
h-index: 0
机构:Shandong Economic University,School of Statistics and Mathematics
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
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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.