STABILITY OF THEORETICAL SOLUTION AND NUMERICAL SOLUTION OF NONLINEAR DIFFERENTIAL EQUATIONS WITH PIECEWISE DELAYS

• 来源期刊: 计算数学（英文版）
• 关键词: Stability Delay differential equations Linear multistep methods.
• 年，卷（期）: 2005,（4）
• 页码范围: 393-400
• 页数: 8页
• 语种: 英文

摘要

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.