Affiliation:
1. Department of Mathematical Sciences, University of Arkansas, Fayetteville, AR 72701, USA
Abstract
Stability properties of linear multistep methods for delay differential equations with respect to the test equationy′(t)=ay(λt)+by(t), t≥0,0<λ<1, are investigated. It is known that the solution of this equation is bounded if and only if|a|<−band we examine whether this property is inherited by multistep methods with Lagrange interpolation and by parametrized Adams methods.
Funder
National Science Foundation
Subject
Mathematics (miscellaneous)
Cited by
6 articles.
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1. Neural network solution of pantograph type differential equations;Mathematical Methods in the Applied Sciences;2020-01-02
2. Retarded differential equations;Numerical Analysis: Historical Developments in the 20th Century;2001
3. Retarded differential equations;Journal of Computational and Applied Mathematics;2000-12
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