Generalized Variational Oscillation Principles for Second-Order Differential Equations with Mixed-Nonlinearities

Using generalized variational principle and Riccati technique, new oscillation criteria are established for forced second-order differential equation with mixed nonlinearities, which improve and generalize some recent papers in the literature.

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Main Authors: Jing Shao, Fanwei Meng, Xinqin Pang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/539213
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author Jing Shao
Fanwei Meng
Xinqin Pang
author_facet Jing Shao
Fanwei Meng
Xinqin Pang
author_sort Jing Shao
collection DOAJ
description Using generalized variational principle and Riccati technique, new oscillation criteria are established for forced second-order differential equation with mixed nonlinearities, which improve and generalize some recent papers in the literature.
format Article
id doaj-art-e2ec3959d6294ff092c60bc0b2048924
institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-e2ec3959d6294ff092c60bc0b20489242025-02-03T01:27:25ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/539213539213Generalized Variational Oscillation Principles for Second-Order Differential Equations with Mixed-NonlinearitiesJing Shao0Fanwei Meng1Xinqin Pang2School of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaDepartment of Mathematics, Jining University, Shandong, Qufu 273155, ChinaUsing generalized variational principle and Riccati technique, new oscillation criteria are established for forced second-order differential equation with mixed nonlinearities, which improve and generalize some recent papers in the literature.http://dx.doi.org/10.1155/2012/539213
spellingShingle Jing Shao
Fanwei Meng
Xinqin Pang
Generalized Variational Oscillation Principles for Second-Order Differential Equations with Mixed-Nonlinearities
Discrete Dynamics in Nature and Society
title Generalized Variational Oscillation Principles for Second-Order Differential Equations with Mixed-Nonlinearities
title_full Generalized Variational Oscillation Principles for Second-Order Differential Equations with Mixed-Nonlinearities
title_fullStr Generalized Variational Oscillation Principles for Second-Order Differential Equations with Mixed-Nonlinearities
title_full_unstemmed Generalized Variational Oscillation Principles for Second-Order Differential Equations with Mixed-Nonlinearities
title_short Generalized Variational Oscillation Principles for Second-Order Differential Equations with Mixed-Nonlinearities
title_sort generalized variational oscillation principles for second order differential equations with mixed nonlinearities
url http://dx.doi.org/10.1155/2012/539213
work_keys_str_mv AT jingshao generalizedvariationaloscillationprinciplesforsecondorderdifferentialequationswithmixednonlinearities
AT fanweimeng generalizedvariationaloscillationprinciplesforsecondorderdifferentialequationswithmixednonlinearities
AT xinqinpang generalizedvariationaloscillationprinciplesforsecondorderdifferentialequationswithmixednonlinearities