Asymptotic behavior of solutions of a class of delay differential systems

作者：Wei, Zhijian; Huang, Lihong^*

来源：Applied Mathematics Letters, 2009, 22(2): 221-225.

DOI：10.1016/j.aml.2008.03.014

• Asymptotic behavior
• Delay differential equation
• Compartmental system
• Bounded solution
• Omega limit set

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 > 0 is a given constant, F, G epsilon C(R-1), F is strictly increasing on R-1, and either G(x) >= F(x) for all x epsilon R-1 or G(x) <= F(x) for all x epsilon R-1. It is shown that every bounded solution of the system tends to a constant vector as t -> infinity. The result obtained extends the existing ones in the literature.

• 出版日期2009-2
• 单位湖南大学