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Volume 22, Issue 3
Boundedness and Asymptotic Stability of Multistep Methods for Generalized Pantograph Equations

Chengjian Zhang & Geng Sun

J. Comp. Math., 22 (2004), pp. 447-456.

Published online: 2004-06

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  • Abstract

In this paper, we deal with the boundedness and the asymptotic stability of linear and one-leg multistep methods for generalized pantograph equations of neutral type, which arise from some fields of engineering. Some criteria of the boundedness and the asymptotic stability for the methods are obtained.

  • Keywords

Boundedness, Asymptotic stability, Multistep methods, Generalized pantograph equations.

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COPYRIGHT: © Global Science Press

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@Article{JCM-22-447, author = {Zhang , Chengjian and Sun , Geng}, title = {Boundedness and Asymptotic Stability of Multistep Methods for Generalized Pantograph Equations}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {3}, pages = {447--456}, abstract = {

In this paper, we deal with the boundedness and the asymptotic stability of linear and one-leg multistep methods for generalized pantograph equations of neutral type, which arise from some fields of engineering. Some criteria of the boundedness and the asymptotic stability for the methods are obtained.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10318.html} }
TY - JOUR T1 - Boundedness and Asymptotic Stability of Multistep Methods for Generalized Pantograph Equations AU - Zhang , Chengjian AU - Sun , Geng JO - Journal of Computational Mathematics VL - 3 SP - 447 EP - 456 PY - 2004 DA - 2004/06 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10318.html KW - Boundedness, Asymptotic stability, Multistep methods, Generalized pantograph equations. AB -

In this paper, we deal with the boundedness and the asymptotic stability of linear and one-leg multistep methods for generalized pantograph equations of neutral type, which arise from some fields of engineering. Some criteria of the boundedness and the asymptotic stability for the methods are obtained.

Zhang , Chengjian and Sun , Geng. (2004). Boundedness and Asymptotic Stability of Multistep Methods for Generalized Pantograph Equations. Journal of Computational Mathematics. 22 (3). 447-456. doi:
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