Displaying similar documents to “On continuity properties of functions with conditions on the mean oscillation”

Medians, continuity, and vanishing oscillation

Jonathan Poelhuis, Alberto Torchinsky (2012)

Studia Mathematica

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We consider properties of medians as they pertain to the continuity and vanishing oscillation of a function. Our approach is based on the observation that medians are related to local sharp maximal functions restricted to a cube of ℝⁿ.

Linearization technique for oscillation of perturbed half-linear differential equations

Manabu Naito (2025)

Archivum Mathematicum

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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.

Oscillations of neutral differential systems

Bozena Mihalíková (1999)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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The aim of this paper is to present the sufficient conditions for oscillation of solutions of the system of differential equations of neutral type.