Oscillation Theorems for Second-Order Forced Neutral Nonlinear Differential Equations with Delayed Argument

Oscillation Theorems for Second-Order Forced Neutral Nonlinear Differential Equations with Delayed Argument

We are concerned with the oscillation of the forced second-order neutral nonlinear differential equations with delayed argument in the form (r(t)(x(t)+a(t)x(σ(t)))′)′+p(t)f(x(τ(t)))+∑i=1nqi(t)|x(t)|λisngx(t)=e(t). No restriction is imposed on the potentials p(t), qi(t), ande(t) to be nonnegative. Ou...

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Main Authors: Jing Shao, Fanwei Meng
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2010/181784
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spelling doaj-50268ea8a4ff49b88e9673153973be0a2020-11-24T22:39:48ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512010-01-01201010.1155/2010/181784181784Oscillation Theorems for Second-Order Forced Neutral Nonlinear Differential Equations with Delayed ArgumentJing Shao0Fanwei Meng1Department of Mathematics, Jining University, Qufu, Shandong 273155, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaWe are concerned with the oscillation of the forced second-order neutral nonlinear differential equations with delayed argument in the form (r(t)(x(t)+a(t)x(σ(t)))′)′+p(t)f(x(τ(t)))+∑i=1nqi(t)|x(t)|λisngx(t)=e(t). No restriction is imposed on the potentials p(t), qi(t), ande(t) to be nonnegative. Our methodology is somewhat different from those of previous authors.http://dx.doi.org/10.1155/2010/181784
collection DOAJ
language English
format Article
sources DOAJ
author Jing Shao
Fanwei Meng
spellingShingle Jing Shao
Fanwei Meng
Oscillation Theorems for Second-Order Forced Neutral Nonlinear Differential Equations with Delayed Argument
International Journal of Differential Equations
author_facet Jing Shao
Fanwei Meng
author_sort Jing Shao
title Oscillation Theorems for Second-Order Forced Neutral Nonlinear Differential Equations with Delayed Argument
title_short Oscillation Theorems for Second-Order Forced Neutral Nonlinear Differential Equations with Delayed Argument
title_full Oscillation Theorems for Second-Order Forced Neutral Nonlinear Differential Equations with Delayed Argument
title_fullStr Oscillation Theorems for Second-Order Forced Neutral Nonlinear Differential Equations with Delayed Argument
title_full_unstemmed Oscillation Theorems for Second-Order Forced Neutral Nonlinear Differential Equations with Delayed Argument
title_sort oscillation theorems for second-order forced neutral nonlinear differential equations with delayed argument
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2010-01-01
description We are concerned with the oscillation of the forced second-order neutral nonlinear differential equations with delayed argument in the form (r(t)(x(t)+a(t)x(σ(t)))′)′+p(t)f(x(τ(t)))+∑i=1nqi(t)|x(t)|λisngx(t)=e(t). No restriction is imposed on the potentials p(t), qi(t), ande(t) to be nonnegative. Our methodology is somewhat different from those of previous authors.
url http://dx.doi.org/10.1155/2010/181784
work_keys_str_mv AT jingshao oscillationtheoremsforsecondorderforcedneutralnonlineardifferentialequationswithdelayedargument
AT fanweimeng oscillationtheoremsforsecondorderforcedneutralnonlineardifferentialequationswithdelayedargument
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