Asymptotic behavior of gradient systems with small time delays

作者:Li Desheng*; Wang Yanling
来源:Nonlinear Analysis: Real World Applications , 2010, 11(3): 1627-1633.
DOI:10.1016/j.nonrwa.2009.03.015

摘要

This paper is concerned with the asymptotic behavior of gradient systems with small time delays. Roughly speaking, we show that each bounded solution will approach one of the equilibria in case the equilibria are isolated This indicates that gradient systems with small time delays behave very much like the nondelayed ones.