Some oscillation properties of third order linear homogeneous differential equations

Shair Ahmad; Abdelali Benharbit

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In this paper we study distribution and continuity properties of functions satisfying a vanishing mean oscillation property with a lag mapping on a space of homogeneous type.

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Linearization technique for oscillation of perturbed half-linear differential equations

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It is shown that oscillation of perturbed second order half-linear differential equations can be derived from oscillation of second order linear differential equations associated with modified Riccati equations. In the main result of the present paper, some of technical assumptions in the known results of this type are removed.