中立型泛函微分方程θ-方法稳定性分析(英文)

Stability analysis of - methods for neutral functional - differential equations

研究以下中立型泛函微分方程y'(t)=Ay(t)+sum from i=1 to 3 B_iy(q_it)+sum from i=1 to k C_iy'(P_it)数值稳定性,其中A,B_i,(i=1,…,s),C_i(i=1,…,k)是复矩阵,0<q_1≤q_2≤…≤q_s<1,0<p_1≤p_2≤…≤p_s<1我们给出了θ-方法渐近稳定的充分必要条件。

The numerical stability for the neutral functional - differential equation is explored, where A, Bi(i=1,... s), Ci(i=1,...,k) are complex matrices. A sufficient and necessary condition for the asymptotic stability of method is defined.