@techreport{ad9ca5b8df064ad1b4aa5c5d28052b2e,
title = "Asymptotic analysis of Emden-Fowler type equation with an application to power flow models",
abstract = "Emden-Fowler type equations are nonlinear differential equations that appear in many fields such as mathematical physics, astrophysics and chemistry. In this paper, we perform an asymptotic analysis of a specific Emden-Fowler type equation that emerges in a queuing theory context as an approximation of voltages under a well-known power flow model. Thus, we place Emden-Fowler type equations in the context of electrical engineering. We derive properties of the continuous solution of this specific Emden-Fowler type equation and study the asymptotic behavior of its discrete analog. We conclude that the discrete analog has the same asymptotic behavior as the classical continuous Emden-Fowler type equation that we consider.",
keywords = "math.CA",
author = "M.H.M. Christianen and A.J.E.M. Janssen and M. Vlasiou and B. Zwart",
note = "33 pages, 3 figures",
year = "2022",
month = jun,
day = "29",
doi = "10.48550/arXiv.2206.14653",
language = "English",
publisher = "ArXiv.org",
type = "WorkingPaper",
institution = "ArXiv.org",
}