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.

引用

页数：15

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