Some sublinear dynamic integral inequalities on time scales.
Sun, Yuangong (2010)
Journal of Inequalities and Applications [electronic only]
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Sun, Yuangong (2010)
Journal of Inequalities and Applications [electronic only]
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Li, Wei Nian (2011)
Advances in Difference Equations [electronic only]
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Li, Wei Nian (2009)
Advances in Difference Equations [electronic only]
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Pachpatte, Deepak B. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Deepak B. Pachpatte (2015)
Archivum Mathematicum
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The main objective of the paper is to study explicit bounds of certain dynamic integral inequalities on time scales. Using these inequalities we prove the uniqueness of some partial integrodifferential equations on time scales.
Li, Wei Nian, Han, Maoan (2009)
Discrete Dynamics in Nature and Society
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Li, Wei Nian, Sheng, Weihong (2007)
Journal of Inequalities and Applications [electronic only]
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Li, Wei Nian (2008)
Journal of Inequalities and Applications [electronic only]
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Ozkan, Umut Mutlu, Yildirim, Hüseyin (2007)
Journal of Inequalities and Applications [electronic only]
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Meng Hu, Lili Wang (2017)
Open Mathematics
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In this paper, by using the theory of calculus on time scales and some mathematical methods, several nabla dynamic inequalities on time scales are established. As an application, we apply the obtained results to a logistic integrodifferential equation on time scales and sufficient conditions for the permanence of the equation are derived. Finally, numerical examples together with their simulations are presented to illustrate the feasibility and effectiveness of the results.
Akin-Bohner, Elvan, Raffoul, Youssef N. (2006)
Advances in Difference Equations [electronic only]
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Zhang, Chuanyi, Guo, Yali (2007)
Journal of Inequalities and Applications [electronic only]
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