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

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.

Bibliographic Details
Main Authors: Jing Shao, Fanwei Meng, Xinqin Pang
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/539213
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spelling doaj-e2ec3959d6294ff092c60bc0b20489242020-11-25T00:03:44ZengHindawi LimitedDiscrete 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
collection DOAJ
language English
format Article
sources DOAJ
author Jing Shao
Fanwei Meng
Xinqin Pang
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
author_facet Jing Shao
Fanwei Meng
Xinqin Pang
author_sort Jing Shao
title 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_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_sort generalized variational oscillation principles for second-order differential equations with mixed-nonlinearities
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2012-01-01
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.
url http://dx.doi.org/10.1155/2012/539213
work_keys_str_mv AT jingshao generalizedvariationaloscillationprinciplesforsecondorderdifferentialequationswithmixednonlinearities
AT fanweimeng generalizedvariationaloscillationprinciplesforsecondorderdifferentialequationswithmixednonlinearities
AT xinqinpang generalizedvariationaloscillationprinciplesforsecondorderdifferentialequationswithmixednonlinearities
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