Opial's type inequalities on time scales and some applications

S. H. Saker

Displaying similar documents to “Opial's type inequalities on time scales and some applications”

Inequalities among eigenvalues of second-order symmetric equations on time scales.

Zhang, Chao, Sun, Shurong (2010)

Advances in Difference Equations [electronic only]

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Sturm-Picone comparison theorem of second-order linear equations on time scales.

Zhang, Chao, Sun, Shurong (2009)

Advances in Difference Equations [electronic only]

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Some sublinear dynamic integral inequalities on time scales.

Sun, Yuangong (2010)

Journal of Inequalities and Applications [electronic only]

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Some dynamic inequalities applicable to partial integrodifferential equations on time scales

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.

Nonlinear integral inequalities in two independent variables on time scales.

Li, Wei Nian (2011)

Advances in Difference Equations [electronic only]

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Opial inequalities on time scales

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.

Nabla inequalities and permanence for a logistic integrodifferential equation on time scales

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.