Analysis of backward differentiation formula for nonlinear differential-algebraic equations with 2 delays

被引：1
|
作者：
Sun, Leping [1 ]
机构：
[1] Shanghai Normal Univ, Coll Math & Sci, Shanghai 200234, Peoples R China
来源：
SPRINGERPLUS | 2016年 / 5卷
关键词：
Stability; Backward differential formula; Delay differential-algebraic equations; Perturbations; ASYMPTOTIC STABILITY; NUMERICAL-METHODS; NEUTRAL TYPE;
D O I：
10.1186/s40064-016-2422-z
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper is concerned with the backward differential formula or BDF methods for a class of nonlinear 2-delay differential algebraic equations. We obtain two sufficient conditions under which the methods are stable and asymptotically stable. At last, examples show that our methods are true.
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页数：15
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