Stability of Theoretical Solution and Numerical Solution of Nonlinear Differential Equations with Piecewise Delays
Year: 2005
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 4 : pp. 393–400
Abstract
This paper is concerned with the stability of theoretical solution and numerical solution of a class of nonlinear differential equations with piecewise delays. At first, a sufficient condition for the stability of theoretical solution of these problems is given, then numerical stability and asymptotical stability are discussed for a class of multistep methods when applied to these problems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8825
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 4 : pp. 393–400
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Stability Delay differential equations Linear multistep methods.