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Oscillations of differential equations with deviating arguments. (English) Zbl 0845.34082
Summary: Some new sufficient conditions for the oscillation of first-order differential equations with deviating arguments of the form $$x'(t)+ P(t) x(g(t))= 0$$ and $$x'(t)= \sum^L_{i= 1} P_i(t) x(g_i(t))= 0$$ are established in this paper by using a new technique. Our results can be applied to the equations with oscillating coefficients and oscillating deviating arguments. Several applications of our results also improve some of the known results in the literature.

##### MSC:
 34K11 Oscillation theory of functional-differential equations 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations