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On the oscillation of solutions of first-order delay differential inequalities and equations. (English) Zbl 0810.34068
The authors consider the equation (1) $$u'(t)+ p(t) u(\tau(t))= 0$$, where $$p: \mathbb{R}_ +\to \mathbb{R}_ +$$ is locally integrable, $$\tau: \mathbb{R}_ +\to \mathbb{R}$$ is continuous and $$\tau(t)\leq t$$, $$t\in \mathbb{R}_ +$$, $$\lim_{t\to\infty}\tau(t)= \infty$$. There are proved new criteria for the oscillation of solutions of (1), which generalize many earlier results.

##### MSC:
 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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##### References:
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