کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610772 1338584 2013 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Entire solutions in periodic lattice dynamical systems
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Entire solutions in periodic lattice dynamical systems
چکیده انگلیسی

This paper deals with entire solutions of periodic lattice dynamical systems. Unlike homogeneous problems, the periodic equation studied here lacks symmetry between increasing and decreasing pulsating traveling fronts, which affects the construction of entire solutions. In the bistable case, the existence, uniqueness and Liapunov stability of entire solutions are proved by constructing different sub- and supersolutions. In the monostable case, the existence and asymptotic behavior of spatially periodic solutions connecting two steady states are first established. Some new types of entire solutions are then constructed by combining leftward and rightward pulsating traveling fronts with different speeds and a spatially periodic solution. Various qualitative features of the entire solutions are also investigated.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 255, Issue 10, 15 November 2013, Pages 3505–3535
نویسندگان
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