Some nonlinear integral inequalities on time scales.
Li, Wei Nian, Sheng, Weihong (2007)
Journal of Inequalities and Applications [electronic only]
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Li, Wei Nian, Sheng, Weihong (2007)
Journal of Inequalities and Applications [electronic only]
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Li, Wei Nian (2009)
Advances in Difference Equations [electronic only]
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Sun, Yuangong (2010)
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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Li, Wei Nian (2011)
Advances in Difference Equations [electronic only]
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Bohner, Martin, Stević, Stevo (2007)
Discrete Dynamics in Nature and Society
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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.
Martin Bohner, Bıllûr Kaymakçalan (2001)
Annales Polonici Mathematici
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We present a version of Opial's inequality for time scales and point out some of its applications to so-called dynamic equations. Such dynamic equations contain both differential equations and difference equations as special cases. Various extensions of our inequality are offered as well.
Liu, Wenjun J., Ngô, Qúôc-Anh, Chen, Wenbing B. (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Zhang, Ying, Qiao, Shidong (2009)
Discrete Dynamics in Nature and Society
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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.
Muhammad Jibril Shahab Sahir (2020)
Communications in Mathematics
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The aim of this paper is to synthesize discrete and continuous versions of some dynamic inequalities such as Radon's Inequality, Bergström's Inequality, Schlömilch's Inequality and Rogers-Hölder's Inequality on time scales in comprehensive form.
Ozkan, Umut Mutlu, Yildirim, Hüseyin (2007)
Journal of Inequalities and Applications [electronic only]
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