کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
842815 908539 2010 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global attractor for a non-autonomous integro-differential equation in materials with memory
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Global attractor for a non-autonomous integro-differential equation in materials with memory
چکیده انگلیسی

The long-time behavior of an integro-differential parabolic equation of diffusion type with memory terms, expressed by convolution integrals involving infinite delays and by a forcing term with bounded delay, is investigated in this paper. The assumptions imposed on the coefficients are weak in the sense that uniqueness of solutions of the corresponding initial value problems cannot be guaranteed. Then, it is proved that the model generates a multivalued non-autonomous dynamical system which possesses a pullback attractor. First, the analysis is carried out with an abstract parabolic equation. Then, the theory is applied to the particular integro-differential equation which is the objective of this paper. The general results obtained in the paper are also valid for other types of parabolic equations with memory.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 73, Issue 1, 1 July 2010, Pages 183–201
نویسندگان
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