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.


34K11 Oscillation theory of functional-differential equations
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