On the oscillatory integration of some ordinary differential equations
Classical Analysis and ODEs
2008-01-15 v1 Dynamical Systems
Abstract
Conditions are given for a class of nonlinear ordinary differential equations x''(t)+a(t)w(x)=0, t>=1, which includes the linear equation to possess solutions x(t) with prescribed oblique asymptote that have an oscillatory pseudo-wronskian x'(t)-x(t)/t.
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Cite
@article{arxiv.0801.2145,
title = {On the oscillatory integration of some ordinary differential equations},
author = {Octavian G. Mustafa},
journal= {arXiv preprint arXiv:0801.2145},
year = {2008}
}
Comments
16 pages, 1 figure