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

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: equation time; time scales; logistic integrodifferential; time; integrodifferential equation

Journal Title: Open Mathematics
Year Published: 2017

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