On the generalized Emden–Fowler and isothermal spheres equations

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摘要

In this paper we study the generalized Emden–Fowler and the generalized isothermal spheres equations. We examine singularities of solutions which are analytic at the origin. We also find an asymptotic behaviour of these solutions at infinity. A correspondence between these equations when one of the parameters tends to infinity is presented.

论文关键词：Singularities of nonlinear ordinary differential equations,Asymptotics,The generalized Emden–Fowler and isothermal spheres equations

论文评审过程：Received 23 December 2014, Accepted 28 May 2015, Available online 27 June 2015, Version of Record 27 June 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.05.140