کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9502701 | 1339537 | 2005 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global behavior for a fourth-order rational difference equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Global behavior for a fourth-order rational difference equation Global behavior for a fourth-order rational difference equation](/preview/png/9502701.png)
چکیده انگلیسی
In this paper, we use a method different from the known literature to investigate the global behavior of the following fourth-order rational difference equation: xn+1=xnâ1xnâ2xnâ3+xnâ1+xnâ2+xnâ3+axnâ1xnâ2+xnâ1xnâ3+xnâ2xnâ3+1+a,n=0,1,2,â¦, where aâ[0,â) and the initial values xâ3, xâ2, xâ1, x0â(0,â). The rule of the trajectory structure for the solutions of the equation is clearly described out. The successive lengths of positive and negative semicycles of nontrivial solutions of the above equation is found to periodically occur. However, the order for them to occur is completely different although there is the same prime period 7. The rule is 3+, 1â, 1+, 2â or 3â, 1+, 1â, 2+ in a period. By using the rule, the positive equilibrium point of the equation is verified to be globally asymptotically stable.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 312, Issue 2, 15 December 2005, Pages 555-563
Journal: Journal of Mathematical Analysis and Applications - Volume 312, Issue 2, 15 December 2005, Pages 555-563
نویسندگان
Xianyi Li,