An algorithm to detect small solutions in linear delay differential equations

Authors:
Neville J. Ford;Patricia M. Lumb
Affiliations:
Mathematics Department, University College Chester, Chester, UK;Mathematics Department, University College Chester, Chester, UK
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 2
Cited 1

Characterising small solutions in delay differential equations through numerical approximations

Applied Mathematics and Computation
Handbook of Parametric and Nonparametric Statistical Procedures

Handbook of Parametric and Nonparametric Statistical Procedures

On the solutions of a system of linear retarded and advanced differential equations by the Bessel collocation approximation

Computers & Mathematics with Applications

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Abstract

This paper presents an algorithm that provides a simple reliable mechanism for the detection of small solutions in linear delay differential equations. We provide background that emphasises the importance of detecting small solutions, we review existing experimental results and provide a mathematical justification for our choice of algorithm. The paper concludes with some examples.