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Theory and numerics for multi-term periodic delay differential equations, small solutions and their detection

Ford, Neville J.
Lumb, Patricia M.
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2006
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We summarise a theoretical treatment that analyses whether the equation has small solutions. We consider discrete equations that arise when a numerical method with fixed step size is applied to approximate the solution to (†) and we develop a corresponding theory. Our results show that small solutions can be detected reliably by the numerical scheme. We conclude with some numerical examples.
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Chester: University of Chester, 2006
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University of Chester
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en
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Applied Mathematics Group
2006: 3
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http://www.chester.ac.uk