Verified solutions of delay eigenvalue problems

Shinya Miyajima

Applied Mathematics and Computation, 2017, vol. 303, issue C, 211-225

Abstract: A numerical algorithm for enclosing solutions of nonlinear eigenvalue problems arising in delay differential equations is proposed. This algorithm verifies the uniqueness of the enclosed eigenvalue when it is simple, and is applicable even for multiple eigenvalues. Numerical results show properties of the algorithm.

Keywords: Delay differential equations; Delay eigenvalue problems; Verified error bound; Matrix exponential (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:303:y:2017:i:c:p:211-225

DOI: 10.1016/j.amc.2017.01.033

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