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An oscillation theorem for a class of second-order forced neutral delay differential equations with mixed nonlinearities

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成果类型:
期刊论文
作者:
Zhong, Jichao;Ouyang, Zigen*;Zou, Shuliang
通讯作者:
Ouyang, Zigen
作者机构:
[Zhong, Jichao; Ouyang, Zigen; Zou, Shuliang] Univ S China, Ctr Nucl Energy Econ & Management, Hengyang 421001, Peoples R China.
[Zhong, Jichao; Ouyang, Zigen] Univ S China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构:
[Ouyang, Zigen] U
Univ S China, Ctr Nucl Energy Econ & Management, Hengyang 421001, Peoples R China.
语种:
英文
关键词:
Oscillation;Second-order;Forced neutral delay differential equation;Nonlinear;Eventually positive solution
期刊:
Applied Mathematics Letters
ISSN:
0893-9659
年:
2011
卷:
24
期:
8
页码:
1449-1454
基金类别:
Natural Science Foundation of Hunan ProvinceNatural Science Foundation of Hunan Province [07113130]; Doctor Foundation of University of South China [5-XQD-2006-9]; Subject Lead Foundation of University of South China [2007XQD13]
机构署名:
本校为第一且通讯机构
院系归属:
国防科学技术学院
数理学院
摘要:
A class of second-order forced neutral delay differential equation with mixed nonlinearities (r(t)|x′(t)+px′(t- σ)|α-1(x′(t)+px′(t-σ))) ′+q0(t)|x(τ0(t))|α-1x(τ0(t) )+∑i=1nqi(t)|x(τi(t))|βi-1x( τi(t))=e(t)sgn(x(t)) is investigated in this paper. Using a new method, we obtain some new sufficient conditions for the oscillation of the above equation, and some known oscillation criteria have been extended...

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