Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709294 | Applied Mathematics Letters | 2009 | 5 Pages |
Abstract
The asymptotic behavior of the bounded solutions of the delayed system {x′(t)=−F(x(t))+G(y(t−r)),y′(t)=−F(y(t))+G(x(t−r)), is investigated, where r>0r>0 is a given constant, FF, G∈C(R1)G∈C(R1), FF is strictly increasing on R1R1, and either G(x)≥F(x)G(x)≥F(x) for all x∈R1x∈R1 or G(x)≤F(x)G(x)≤F(x) for all x∈R1x∈R1. It is shown that every bounded solution of the system tends to a constant vector as t→∞t→∞. The result obtained extends the existing ones in the literature.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Zhijian Wei, Lihong Huang,