An extension of numerical stability criteria for linear neutral multidelay-integro-differential equations

Jianwan Ding and Chengjian Zhang

Applied Mathematics and Computation, 2015, vol. 265, issue C, 347-351

Abstract: In this paper, the underlying general linear methods (GLMs) are adapted to linear neutral multidelay-integro-differential equations (NMIDEs). In order to obtain stability criteria of the extended GLMs, the corresponding results in paper of Zhang and Vandewalle (2008) are generalized. Based on the concepts of A(α)-stability and A-stability of the underlying GLMs, a serial of asymptotic stability criteria of the extended GLMs are obtained.

Keywords: Asymptotical stability; Neutral multidelay-integro-differential equation; General linear method; Compound quadrature rule (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:265:y:2015:i:c:p:347-351

DOI: 10.1016/j.amc.2015.05.015

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