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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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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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 |
id | doaj-art-6adf55c437434aefb108c0919b04e4f9 |
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 |
work_keys_str_mv | AT ambarkaabdallasalhin setofoscillationcriteriaforsecondordernonlinearforceddifferentialequationswithdamping AT ummulkhairsalmadin setofoscillationcriteriaforsecondordernonlinearforceddifferentialequationswithdamping AT rokiahrozitaahmad setofoscillationcriteriaforsecondordernonlinearforceddifferentialequationswithdamping AT mohdsalmimdnoorani setofoscillationcriteriaforsecondordernonlinearforceddifferentialequationswithdamping |