کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
407987 678242 2011 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Continuous and discrete models of neural systems in infinite-dimensional abstract spaces
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Continuous and discrete models of neural systems in infinite-dimensional abstract spaces
چکیده انگلیسی

Infinite countable or uncountable systems of nonlinear ordinary and partial differential equations, which are discrete and continuous models, respectively, of real-world phenomena and processes were analysed in physics, biology, neuroscience, in studying of neural systems or in pure mathematics. Discrete models and corresponding infinite countable systems have been investigated by numerous authors in Banach sequence spaces ℓ∞ℓ∞. But continuous model and corresponding infinite uncountable systems have been investigated by a few authors only.It is interesting that we can attack the above problems by using the same topological fixed-point theory tools as in the countable case.It is the study of infinite uncountable systems of parabolic reaction-diffusion-convection equations that is the subject matter of this paper. Motivation for considering such systems and examples thereof are presented. The paper is an introduction to the study of infinite uncountable systems of parabolic equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Neurocomputing - Volume 74, Issue 17, October 2011, Pages 2711–2715
نویسندگان
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