Qing-Long Liu, Hui-Sheng Ding
Abstract:
This article concerns the existence of solutions to a first-order
differential equation with time-varying delay, which is known as a
Nicholson's blowflies model.
By using fixed a point theorem and the Lyapunov functional method,
we establish the existence and locally exponential stability
of almost periodic solutions for the model.
Also, we apply our results to two examples, for which some
earlier results can not be applied.
Submitted October 15, 2012. Published February 21, 2013.
Math Subject Classifications: 34C27, 34K14.
Key Words: Nicholson's blowflies model; almost periodic solution;
exponential stability.
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Qing-Long Liu College of Mathematics and Information Science Jiangxi Normal University Nanchang, Jiangxi 330022, China email: 758155543@qq.com |
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Hui-Sheng Ding College of Mathematics and Information Science Jiangxi Normal University Nanchang, Jiangxi 330022, China email: dinghs@mail.ustc.edu.cn |
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