Opial inequalities on time scales

Martin Bohner; Bıllûr Kaymakçalan

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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.

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.

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Trench's perturbation theorem for dynamic equations.

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

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.