Contractivity for nonautonomous logistic equation with piecewise constant delays
Contractivity for nonautonomous logistic equation with piecewise constant delays
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DOI：
10.1063/1.3142940
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发表时间：
2009-05
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影响因子：
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通讯作者：
Y. Nakata;Masataka Kuroda;Y. Muroya
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文献类型：
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作者：
Y. Nakata;Masataka Kuroda;Y. Muroya
在本文中，我们将结果扩展为[Y. Muroya，分段常延迟逻辑方程中的持久性、收缩性和全局稳定性，J. Math。肛门。应用。 270 (2002) 602–635]到具有分段常数参数的非自治逻辑方程，并为类似收缩性的性质建立两个充分条件，从中导出该方程解的全局渐近稳定性，即使延迟的影响在瞬时反馈中占主导地位。我们提供两个例子来说明我们的结果。
In this paper, we extend the result in [Y. Muroya, Persistence, contractivity and global stability in logistic equations with piecewise constant delays, J. Math. Anal. Appl. 270 (2002) 602–635] to nonautonomous logistic equations with piecewise constant arguments and establish two sufficient conditions for contractivity‐like property, from which the global asymptotic stability of the solutions of this equation is derived, even if the effect of delays dominates over the instantaneous feedback. We offer two examples to illustrate our results.