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The boundedness of non-autonomous nonlinear time-varying delay difference equations subject to external disturbances and its applications
D. C. Huongab a Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City, Vietnam
b Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Аннотация:
First, we employ fixed point theory and compute some difference inequalities to derive some new results on the existence of positive solutions and the equi-boundedness of solutions. Second, we derive a sufficient condition for the ultimate boundedness of solutions. Third, we apply the obtained results to some discrete population models. Finally, numerical examples are given to illustrate the effectiveness of the proposed results.
Ключевые слова:
Fixed point theorem, contraction mapping, nonlinear difference equations, boundedness, time-varying delays.
Образец цитирования:
D. C. Huong, “The boundedness of non-autonomous nonlinear time-varying delay difference equations subject to external disturbances and its applications”, Eurasian Journal of Mathematical and Computer Applications, 8:2 (2020), 52–68
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/ejmca158 https://www.mathnet.ru/rus/ejmca/v8/i2/p52
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Страница аннотации: | 141 | PDF полного текста: | 51 |
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