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Keywords:
third order differential equation; damping term; second order oscillatory equation; positive solution; asymptotic properties
third order differential equation; damping term; second order oscillatory equation; positive solution; asymptotic properties
Summary:
We study solutions tending to nonzero constants for the third order differential equation with the damping term \[ (a_{1}(t)(a_{2}(t)x'(t))')'+q(t)x'(t)+r(t)f(x(\varphi (t)))=0 \] in the case when the corresponding second order differential equation is oscillatory.
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