摘要
研究了非自治时滞微分方程x′i(t) + ∑2j= 1aij(t)xj(hij(t))= 0,t≥0,i= 1,2平衡点(x1,x2)T = (0,0)T 的稳定性,应用Liapunov 泛函方法得到该系统稳定性的条件.这些检验方程对于进一步研究数值方法中的稳定性提供了理论基础.
The stability of trivial solution of non autonomous delay differential equations: x′ i(t)+∑2j=1a ij (t)x j(h ij (t))=0, t≥0, i=1,2. are investigated. Liapunov′s functional techniques are used to obtain stability conditions. These test equations are interesting examples for forthcoming investigation of the stability of the numerical methods.
出处
《陕西师范大学学报（自然科学版）》
CAS
CSCD
北大核心
1999年第4期7-11,共5页
Journal of Shaanxi Normal University：Natural Science Edition
基金
陕西省自然科学基金!(965L03)
