Asymptotic properties of third-order nonlinear differential equations
Abstract
We present new criteria for all nonoscillatory solutions of the third-order functional differential equation
\begin{equation*}
\left[r(t)\left[x'(t)\right]^{\gamma}\right]'' +p(t) x^{\beta}(\tau(t))=0
\end{equation*}
tend to zero. Our results are based on the suitable comparison theorems. We consider both delay and advanced case of studied equation. The results obtained
essentially improve and complement earlier ones.
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PDFDOI: https://doi.org/10.2478/tatra.v54i0.205