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Zbl 0832.34064
Elbert, Á.; Stavroulakis, I.P.
Oscillations of first order differential equations with deviating arguments.
(English)
[A] Agarwal, R. P. (ed.), Recent trends in differential equations. Singapore: World Scientific Publishing. World Sci. Ser. Appl. Anal. 1, 163-178 (1992). ISBN 981-02-0963-0

Summary: New oscillation criteria for the first-order differential equation $x'(t)+ p(t) x(\tau(t))= 0$ are established. An extension of the results to inequalities and applications to neutral differential equations are also presented. Examples illustrating the significance of the results are given.
MSC 2000:
*34K11 Oscillation theory of functional-differential equations
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.
34K40 Neutral equations
34A40 Differential inequalities (ODE)

Keywords: oscillation criteria; first-order differential equation; inequalities; neutral differential equations

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