Linearization and Higher Order Nonlinear Oscillation Theorems Using Comparison Methods

Ravi P. Agarwal; Said R. Grace; Donal O'Regan

doi:10.1515/GMJ.2004.7

Linearization and Higher Order Nonlinear Oscillation Theorems Using Comparison Methods

Ravi P. Agarwal
, Said R. Grace
, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

We establish some new oscillation criteria for higher order nonlinear differential equations. The main idea involves comparing our equation with the related linear second order differential equations so that the known oscillation theorems from the literature can be employed directly.

Original language	English
Pages (from-to)	7-26
Number of pages	20
Journal	Georgian Mathematical Journal
Volume	11
Issue number	1
DOIs	https://doi.org/10.1515/GMJ.2004.7
Publication status	Published - 2004

Keywords

comparison
Linearization
nonlinear
nonoscillation
oscillation

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10.1515/GMJ.2004.7

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@article{2702396051654453891099d4ee0142f1,

title = "Linearization and Higher Order Nonlinear Oscillation Theorems Using Comparison Methods",

abstract = "We establish some new oscillation criteria for higher order nonlinear differential equations. The main idea involves comparing our equation with the related linear second order differential equations so that the known oscillation theorems from the literature can be employed directly.",

keywords = "comparison, Linearization, nonlinear, nonoscillation, oscillation",

author = "Agarwal, \{Ravi P.\} and Grace, \{Said R.\} and Donal O'Regan",

year = "2004",

doi = "10.1515/GMJ.2004.7",

language = "English",

volume = "11",

pages = "7--26",

journal = "Georgian Mathematical Journal",

issn = "1072-947X",

publisher = "Walter de Gruyter GmbH",

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T1 - Linearization and Higher Order Nonlinear Oscillation Theorems Using Comparison Methods

AU - Agarwal, Ravi P.

AU - Grace, Said R.

AU - O'Regan, Donal

PY - 2004

Y1 - 2004

N2 - We establish some new oscillation criteria for higher order nonlinear differential equations. The main idea involves comparing our equation with the related linear second order differential equations so that the known oscillation theorems from the literature can be employed directly.

AB - We establish some new oscillation criteria for higher order nonlinear differential equations. The main idea involves comparing our equation with the related linear second order differential equations so that the known oscillation theorems from the literature can be employed directly.

KW - comparison

KW - Linearization

KW - nonlinear

KW - nonoscillation

KW - oscillation

UR - https://www.scopus.com/pages/publications/85026043037

U2 - 10.1515/GMJ.2004.7

DO - 10.1515/GMJ.2004.7

M3 - Article

AN - SCOPUS:85026043037

SN - 1072-947X

VL - 11

SP - 7

EP - 26

JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

IS - 1

ER -

Linearization and Higher Order Nonlinear Oscillation Theorems Using Comparison Methods

Abstract

Keywords

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