Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Shifeng Wu, Wenhao Li and Siqing Gan
Pages: [113] - [132]
Received Date: March 30, 2010
Submitted by:
In this paper, the delay dependent stability properties of a class of
boundary value methods (BVMs) for delay differential equations (DDEs)
are considered. The delay dependent stable regions of the extended
trapezoidal rules of second kind 
, which are a class of BVMs, are displayed
for the test equation of DDEs. Furthermore, it is showed that
can preserve the delay-dependent stability
of the real coefficient test equation considered. Some numerical
experiments are given to confirm the theoretical results.
delay differential equations, boundary value methods, delay-dependent stability, extended trapezoidal rules of second kind.
