Year: 2007
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 1 : pp. 81–88
Abstract
The analytic and discretized dissipativity of nonlinear infinite-delay systems of the form $x'(t)=g(x(t),x(qt)) (q\in (0,1),t›0)$ is investigated. A sufficient condition is presented to ensure that the above nonlinear system is dissipative. It is proved that the backward Euler method inherits the dissipativity of the underlying system. Numerical examples are given to confirm the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-JCM-8674
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 1 : pp. 81–88
Published online: 2007-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Infinite delay Pantograph equation Backward Euler method Dissipativity.