Analytic solutions of a class of iterative functional differential equations

作者：

Highlights：

•

摘要

Analytic solutions are obtained for iterative functional differential equations that are natural extensions of x′=1/x∘x. We make use of neutral functional differential equations with proportional delays as well as neutral differential-difference equations for achieving our purposes.

论文关键词：39A10,39A11,34K05,Analytic solutions,Iterates,Dirichlet series,Proportional delay,Schröder transformation

论文评审过程：Received 4 January 2003, Revised 28 July 2003, Available online 19 November 2003.

论文官网地址：https://doi.org/10.1016/j.cam.2003.08.049