## Oscillation criteria of third-order nonlinear delay differential equations.(English)Zbl 1141.34040

In this paper the self-adjoint nonlinear delay differential equation is studied of the form
$\Bigl (c(t)\bigl (a(t)x'(t)\bigl )'\Bigr )'+q(t)f\bigl (x(t-\sigma )\bigr )=0,$
where $$\sigma \geq 0$$ and functions $$c(t),a(t),q(t)$$ and $$f(t)$$ satisfy addition conditions. Criteria are derived that every solution oscillates or converges to zero. Illustrative examples are presented.

### MSC:

 34K11 Oscillation theory of functional-differential equations

### Keywords:

oscillation; Kamenev-type criteria
Full Text:

### References:

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