Growth Rates of Solutions of Superlinear Ordinary Differential Equations
Classical Analysis and ODEs
2017-05-23 v1 Dynamical Systems
Abstract
In this letter we obtain sharp estimates on the growth rate of solutions to a nonlinear ODE with a nonautonomous forcing term. The equation is superlinear in the state variable and hence solutions exhibit rapid growth and finite-time blow-up. The importance of ODEs of the type considered here stems from the key role they play in understanding the asymptotic behaviour of more complex systems involving delay and randomness.
Cite
@article{arxiv.1702.06427,
title = {Growth Rates of Solutions of Superlinear Ordinary Differential Equations},
author = {John A. D. Appleby and Denis D. Patterson},
journal= {arXiv preprint arXiv:1702.06427},
year = {2017}
}
Comments
7 pages