Oscillatory solutions of some perturbed second order differential equations
Classical Analysis and ODEs
2010-01-07 v1 Mathematical Physics
math.MP
Abstract
We discuss the occurrence of oscillatory solutions which decay to 0 as for a class of perturbed second order ordinary differential equations. As opposed to other results in the recent literature, the perturbation is as small as desired in terms of its improper integrals and it is independent of the coefficients of the non-oscillatory unperturbed equation. This class of equations reveals thus a new pathology in the theory of perturbed oscillations.
Cite
@article{arxiv.1001.0931,
title = {Oscillatory solutions of some perturbed second order differential equations},
author = {Octavian G. Mustafa},
journal= {arXiv preprint arXiv:1001.0931},
year = {2010}
}