Asymptotically linear solutions of differential equations via Lyapunov functions
Classical Analysis and ODEs
2010-01-06 v2 Dynamical Systems
Abstract
We discuss the existence of solutions with oblique asymptotes to a class of second order nonlinear ordinary differential equations by means of Lyapunov functions. The approach is new in this field and allows for simpler proofs of general results regarding Emden-Fowler like equations.
Keywords
Cite
@article{arxiv.0904.1393,
title = {Asymptotically linear solutions of differential equations via Lyapunov functions},
author = {Octavian G. Mustafa and Cemil Tunc},
journal= {arXiv preprint arXiv:0904.1393},
year = {2010}
}