کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
843128 | 1470525 | 2010 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The asymptotic behavior of the strong solutions for a non-autonomous non-local PDE model with delay
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we study the asymptotic behavior of the strong solutions of a non-autonomous non-local PDE model with time delay. We present the existence and structure of the uniform attractor by constructing the skew product flow of the family of processes generated by the strong solutions. In order to obtain the existence of the uniform attractor, we prove the family of processes satisfies uniform condition (C) by using some special technique of phase space decomposition. Additionally, it is shown that all the bounded complete trajectories are globally asymptotic stable under some assumptions. As the application of our result, we obtain a globally asymptotic stable nontrivial strong periodic solution of a non-local PDE model.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 72, Issues 9–10, 1 May 2010, Pages 3681–3694
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 72, Issues 9–10, 1 May 2010, Pages 3681–3694
نویسندگان
Xiang Li, Zhixiang Li,