\input zb-basic
\input zb-ioport
\iteman{io-port 05974188}
\itemau{Liu, Lingxia}
\itemti{Analytic solutions of a second-order functional differential equation.}
\itemso{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).}
\itemab
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 $\alpha$ is a root of unity but also those $\alpha$ near resonance under Brjuno condition.
\itemrv{~}
\itemcc{}
\itemut{iterative functional differential equation; auxiliary equation; resonance; brjuno condition}
\itemli{doi:10.1007/978-3-642-23324-1\_38}
\end