Reconciliation of discrete and continuous versions of some dynamic inequalities synthesized on time scale calculus

Muhammad Jibril Shahab Sahir

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Displaying similar documents to “Reconciliation of discrete and continuous versions of some dynamic inequalities synthesized on time scale calculus”

Some dynamic inequalities applicable to partial integrodifferential equations on time scales

Deepak B. Pachpatte (2015)

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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.

Some sublinear dynamic integral inequalities on time scales.

Sun, Yuangong (2010)

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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.

Nonlinear integral inequalities in two independent variables on time scales.

Li, Wei Nian (2011)

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Bounds for certain nonlinear dynamic inequalities on time scales.

Li, Wei Nian, Han, Maoan (2009)

Discrete Dynamics in Nature and Society

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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.