Set of Oscillation Criteria for Second Order Nonlinear Forced Differential Equations with Damping

By employing a generalized Riccati technique and an integral averaging technique, some new oscillation criteria are established for the second order nonlinear forced differential equation with damping. These results extend, improve, and unify some known oscillation criteria in the existing literatur...

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Main Authors: Ambarka Abdalla Salhin, Ummul Khair Salma Din, Rokiah Rozita Ahmad, Mohd Salmi Md Noorani
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/545189
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author Ambarka Abdalla Salhin
Ummul Khair Salma Din
Rokiah Rozita Ahmad
Mohd Salmi Md Noorani
author_facet Ambarka Abdalla Salhin
Ummul Khair Salma Din
Rokiah Rozita Ahmad
Mohd Salmi Md Noorani
author_sort Ambarka Abdalla Salhin
collection DOAJ
description By employing a generalized Riccati technique and an integral averaging technique, some new oscillation criteria are established for the second order nonlinear forced differential equation with damping. These results extend, improve, and unify some known oscillation criteria in the existing literature.
format Article
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institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-6adf55c437434aefb108c0919b04e4f92025-02-03T06:11:07ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/545189545189Set of Oscillation Criteria for Second Order Nonlinear Forced Differential Equations with DampingAmbarka Abdalla Salhin0Ummul Khair Salma Din1Rokiah Rozita Ahmad2Mohd Salmi Md Noorani3School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaBy employing a generalized Riccati technique and an integral averaging technique, some new oscillation criteria are established for the second order nonlinear forced differential equation with damping. These results extend, improve, and unify some known oscillation criteria in the existing literature.http://dx.doi.org/10.1155/2014/545189
spellingShingle Ambarka Abdalla Salhin
Ummul Khair Salma Din
Rokiah Rozita Ahmad
Mohd Salmi Md Noorani
Set of Oscillation Criteria for Second Order Nonlinear Forced Differential Equations with Damping
Discrete Dynamics in Nature and Society
title Set of Oscillation Criteria for Second Order Nonlinear Forced Differential Equations with Damping
title_full Set of Oscillation Criteria for Second Order Nonlinear Forced Differential Equations with Damping
title_fullStr Set of Oscillation Criteria for Second Order Nonlinear Forced Differential Equations with Damping
title_full_unstemmed Set of Oscillation Criteria for Second Order Nonlinear Forced Differential Equations with Damping
title_short Set of Oscillation Criteria for Second Order Nonlinear Forced Differential Equations with Damping
title_sort set of oscillation criteria for second order nonlinear forced differential equations with damping
url http://dx.doi.org/10.1155/2014/545189
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AT ummulkhairsalmadin setofoscillationcriteriaforsecondordernonlinearforceddifferentialequationswithdamping
AT rokiahrozitaahmad setofoscillationcriteriaforsecondordernonlinearforceddifferentialequationswithdamping
AT mohdsalmimdnoorani setofoscillationcriteriaforsecondordernonlinearforceddifferentialequationswithdamping