Asymptotic　Stability　Analysis　of　θ－Methods　For　Functional　Differential　Equations  

作　　者：Chu Zhongwu Qiu Shenshan(Harbin Institute of Technology. Harbin 150001 ) (Daqing Petroleum Institute, Daqing 151400) 

出　　处：《大学数学》1996年第3期1-3,共3页College Mathematics

摘　　要：ＡｓｙｍｐｔｏｔｉｃＳｔａｂｉｌｉｔｙＡｎａｌｙｓｉｓｏｆθ－ＭｅｔｈｏｄｓＦｏｒＦｕｎｃｔｉｏｎａｌＤｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓ￥ＣｈｕＺｈｏｎｇｗｕ；ＱｉｕＳｈｅｎｓｈａｎ（ＨａｒｂｉｎＩｎｓｔｉｔｕｔｅｏｆＴｅｃｈｎｏｌｏｇｙ．Ｈ...This paper deals with the stability analysis of θ-methods for functional differentialequations based on the test equtiony' (t) =ay(λt) +by(t),t>0, y(0)=y0,where 0<λ< 1 is presented. It is known y(t)→() as t→∞ if and only if|b| < -a. We obtain, thisproperty is inherited by the numerical solution of y (t).

关 键 词：AMS(MOS) 65L20 CR: 5. 17 

分 类 号：O174[理学—数学]