کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
842625 | 908536 | 2010 | 16 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments](/preview/png/842625.png)
In this paper, a logistic equation with multiple piecewise constant arguments is investigated in detail. We generalize the approach in two papers, [K. Uesugi, Y. Muroya, E. Ishiwata, On the global attractivity for a logistic equation with piecewise constant arguments, J. Math. Anal. Appl. 294 (2) (2004) 560–580] and [Y. Muroya, E. Ishiwata, N. Guglielmi, Global stability for nonlinear difference equations with variable coefficients, J. Math. Anal. Appl. 334 (1) (2007) 232–247], and establish a new condition for the global stability of the equation. Their results are given as one of the special cases. Moreover, we improve the 3/2 type stability condition under several dominance assumptions on the coefficients of the equation. Some examples and numerical simulations are also presented. All of these examples show that there are several conditions for the global stability of the equation, depending on the coefficients on the delay terms of the equation, beyond the 3/2 type stability condition.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 73, Issue 10, 15 November 2010, Pages 3179–3194