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

Meng Hu; Lili Wang

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 1578-1590
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Meng Hu, and Lili Wang. "Nabla inequalities and permanence for a logistic integrodifferential equation on time scales." Open Mathematics 15.1 (2017): 1578-1590. <http://eudml.org/doc/288309>.

@article{MengHu2017,
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.},
author = {Meng Hu, Lili Wang},
journal = {Open Mathematics},
keywords = {Nabla inequality; Permanence; Integrodifferential equation; Time scale},
language = {eng},
number = {1},
pages = {1578-1590},
title = {Nabla inequalities and permanence for a logistic integrodifferential equation on time scales},
url = {http://eudml.org/doc/288309},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Meng Hu
AU - Lili Wang
TI - Nabla inequalities and permanence for a logistic integrodifferential equation on time scales
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1578
EP - 1590
AB - 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.
LA - eng
KW - Nabla inequality; Permanence; Integrodifferential equation; Time scale
UR - http://eudml.org/doc/288309
ER -

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