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Oscillation criteria for first-order delay equations. (English) Zbl 1035.34075
The authors study the problem of establishing sufficient conditions for the oscillation of the first-order delay differential equation $x'(t)+p(t)x(\tau(t))=0$ under the assumption that $$\lim_{t\to\infty}\int_{\tau(t)}^{t}p(s)\,ds$$ does not exist. The obtained results improve related results known in the literature.

##### MSC:
 34K11 Oscillation theory of functional-differential equations
##### Keywords:
Delay equation; oscillation.
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