Linearization technique for oscillation of perturbed half-linear differential equations

Manabu Naito

Archivum Mathematicum (2025)

  • Issue: 1, page 43-59
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Naito, Manabu. "Linearization technique for oscillation of perturbed half-linear differential equations." Archivum Mathematicum (2025): 43-59. <http://eudml.org/doc/299914>.

@article{Naito2025,
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.},
author = {Naito, Manabu},
journal = {Archivum Mathematicum},
keywords = {half-linear differential equation; oscillation; modified Riccati equation},
language = {eng},
number = {1},
pages = {43-59},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Linearization technique for oscillation of perturbed half-linear differential equations},
url = {http://eudml.org/doc/299914},
year = {2025},
}

TY - JOUR
AU - Naito, Manabu
TI - Linearization technique for oscillation of perturbed half-linear differential equations
JO - Archivum Mathematicum
PY - 2025
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
IS - 1
SP - 43
EP - 59
AB - 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.
LA - eng
KW - half-linear differential equation; oscillation; modified Riccati equation
UR - http://eudml.org/doc/299914
ER -

References

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  14. Naito, M., 10.7494/OpMath.2023.43.2.221, Opuscula Math. 43 (2023), 221–246. (2023) MR4567780DOI10.7494/OpMath.2023.43.2.221
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