TY - JOUR
T1 - Stability of Theoretical Solution and Numerical Solution of Nonlinear Differential Equations with Piecewise Delays
JO - Journal of Computational Mathematics
VL - 4
SP - 393
EP - 400
PY - 2005
DA - 2005/08
SN - 23
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8825.html
KW - Stability, Delay differential equations, Linear multistep methods.
AB - <p style="text-align: justify;">This paper is concerned with the stability of theoretical solution and numerical solution of a class of nonlinear differential equations with piecewise delays. At first, a sufficient condition for the stability of theoretical solution of these problems is given, then numerical stability and asymptotical stability are discussed for a class of multistep methods when applied to these problems.</p>