Analytic solutions of a second-order functional differential equation. (English)
Lin, Song (ed.) et al., Advances in computer science, environment, ecoinformatics, and education. International conference, CSEE 2011, Wuhan, China, August 21‒22, 2011. Proceedings, Part II. Berlin: Springer (ISBN 978-3-642-23323-4/pbk; 978-3-642-23324-1/ebook). Communications in Computer and Information Science 215, 236-242 (2011).
Summary: This paper is concerned with a second-order function differential equation. By constructing a convergent power series solution of an auxiliary equation, analytic solutions for the original differential equation are obtained. We discuss not only those $α$ is a root of unity but also those $α$ near resonance under Brjuno condition.
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