Displaying similar documents to “Linearization technique for oscillation of perturbed half-linear differential equations”

An improved oscillation theorem for nonlinear differential equations of advanced type

Nurten Kiliç, Özkan Öcalan, Mustafa Kemal Yildiz (2024)

Archivum Mathematicum

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This paper deals with the oscillatory solutions of the first order nonlinear advanced differential equation. The aim of the present paper is to obtain an oscillation condition for this equation. This result is new and improves and correlates many of the well-known oscillation criteria that were in the literature. Finally, an example is given to illustrate the main result.

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.

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.