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Positive solutions of third order damped nonlinear differential equations. (English) Zbl 1224.34152
Summary: We study solutions tending to nonzero constants for the third order differential equation with 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.

MSC:
34D05 Asymptotic properties of solutions to ordinary differential equations
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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