STABILITY ANALYSIS OF BLOCK Θ-METHODS FOR NEUTRAL MULTIDELAY-DIFFERENTIAL-ALGEBRAIC EQUATIONS

Yuhao Cong; Chunying Mao; Chengxiang Jiang

doi:10.11948/2012019

2012 Volume 2 Issue 3

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Yuhao Cong, Chunying Mao, Chengxiang Jiang. STABILITY ANALYSIS OF BLOCK Θ-METHODS FOR NEUTRAL MULTIDELAY-DIFFERENTIAL-ALGEBRAIC EQUATIONS[J]. Journal of Applied Analysis & Computation, 2012, 2(3): 273-279. doi: 10.11948/2012019

Citation:

Yuhao Cong, Chunying Mao, Chengxiang Jiang. STABILITY ANALYSIS OF BLOCK Θ-METHODS FOR NEUTRAL MULTIDELAY-DIFFERENTIAL-ALGEBRAIC EQUATIONS[J]. Journal of Applied Analysis & Computation, 2012, 2(3): 273-279. doi: 10.11948/2012019

STABILITY ANALYSIS OF BLOCK Θ-METHODS FOR NEUTRAL MULTIDELAY-DIFFERENTIAL-ALGEBRAIC EQUATIONS

Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China

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Abstract

Abstract

This paper is concerned with the stability analysis of Block θ-methods for solving neutral multidelay-differential-algebraic equations. We shown that if the coefficient matrices of neutral multidelay-differential-algebraic equations satisfying some stability conditions and θ∈[1/2, 1], then the numerical solution of Block θ-methods for solving neutral multidelay-differentialalgebraic equations is asymptotically stable.
- Neutral multidelay differential-algebraic system /
- block θ-methods /
- asymptotic stability
MSC: 65L05;65L06;65L20

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References

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