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Asymptotic behaviour of a class of third-order delay differential equations. (English) Zbl 0996.34029
The authors present sufficient conditions for the delay differential equation $y'''(t)+a(t)y''(t)+b(t)y'(t)+c(t)y(g(t))=0\tag{1}$ to have property (B), that is, every nonoscillatory solution $$y(t)$$ to (1) satisfies $$y(t)y^{i}(t)>0$$, $$0\leq i\leq 3$$. The obtained results generalize some other known results.

##### MSC:
 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
##### Keywords:
oscillation; asymptotic behaviour; property (B)
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##### References:
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