On the oscillatory integration of some ordinary differential equations

Details On the oscillatory integration of some ordinary differential equations On the oscillatory integration of some ordinary differential equations

2008-01-14

arxiv.org/abs/0801.2145v1

Mathematics

Classical Analysis and ODEs

16 pages, 1 figure

Scientific paper

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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