## Oscillation of third-order neutral differential equations.(English)Zbl 1201.34097

Summary: The objective of this paper is to study asymptotic properties of the couple of third-order neutral differential equations $[a(t)([x(t)\pm p(t)x(\delta(t))]'')^{\gamma}]'+q(t)x^\gamma(\tau(t))=0,\quad t\geq t_0\tag{$$E^\pm$$}$ where $$a(t), q(t), p(t)$$ are positive functions, $$\gamma >0$$ is a quotient of odd positive integers and $$\tau (t)\leq t, \delta (t)\leq t$$. We will establish some sufficient conditions which ensure that all nonoscillatory solutions of $$(E^{\pm })$$ converge to zero. Some examples are considered to illustrate the main results.

### MSC:

 34K11 Oscillation theory of functional-differential equations
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### References:

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