Year: 1999
Author: Lin Qiu, Taketomo Mitsui, Jiao-Xun Kuang
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 523–532
Abstract
This paper deals with the asymptotic stability of theoretical solutions and numerical methods for the delay differential equations (DDEs)
where a,b1,b2,...bm and y0∈C,0<λm≤λm−1≤...≤λ1<1. A sufficient condition such that the differential equations are asymptotically stable is derived. And it is shown that the linear θ-method is ⋀GPm-stable if and only if 12≤θ≤1.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1999-JCM-9122
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 523–532
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Delay differential equation Variable delays Numerical stability θ-methods.