解中立型微分方程组的单参数方法的稳定性分析

Stability Analysis of the One-Parameter Method for Systems of Neutral Differential Equations

研究单参数方法解中立型微分方程组ｘ＇（ｔ）＝Ａｘ（Ｌ－τ）＋Ｂｘ（ｌ）＋Ｃｘ＇（ｌ－τ）的数值稳定性性态，其中Ａ，Ｂ，Ｃ是实对称矩阵及τ＞０．并且，我们研究了稳定域的特征．

We deal with the stability behaviour of the one-parameter methods for systems of neutral differential equations x'(l)= Ax'(l-τ) + Bx (l) + Cx (l-τ), whereA,B and C are real, symmetric matrices, and τ>0. Furthermore, we investigate the characterization of the stability region.