求解中立型延迟系统的θ－方法稳定性分析

STABILITY ANALYSIS OF θ-METHODS FOR DELAY SYSTEMS OF NEUTRAL TYPE

研究线性中立型延迟微分方程组数值解θ－方法的稳定性，得到了θ－方法ＧＰ－稳定的充分必要条件是。

To deal with the stability of θ-methods for the delay differential equations of neutral type U'(t)=AU'(t-z)+BU(t)+CU(t-τ),where A,Band C are complex matrix,τ>0,and U(t)is a vecter with complex values.It is shown that θ-methods are GP-stable if and only if.