Linearization technique for oscillation of perturbed half-linear differential equations

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.

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Publication Details

Journal
Archivum Mathematicum
Published
2025-01-01
DOI
https://doi.org/10.5817/am2025-1-43
Primary Topic
Differential Equations and Numerical Methods
Type
article
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article

Linearization technique for oscillation of perturbed half-linear differential equations

Manabu Naito
Archivum Mathematicum
Differential Equations and Numerical Methods
article

Linearization technique for oscillation of perturbed half-linear differential equations

Manabu Naito
article en

Abstract

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.

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Differential Equations and Numerical Methods
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Linearization technique for oscillation of perturbed half-linear differential equations — Manabu Naito · Archivum Mathematicum (2025) | TGRS Research Map | TGRS