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The existence of positive solution and bounded oscillation for even-order neutral differential equations with unstable type

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成果类型:
期刊论文
作者:
Li, Xiaoping*;Liu, Yuehua;Zhou, Tiejun
通讯作者:
Li, Xiaoping
作者机构:
[Liu, Yuehua; Li, Xiaoping; Zhou, Tiejun] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
通讯机构:
[Li, Xiaoping] H
Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
语种:
英文
关键词:
neutral differential equation;unbounded solution;bounded oscillation
期刊:
Applied Mathematics and Computation
ISSN:
0096-3003
年:
2006
卷:
176
期:
2
页码:
632-641
基金类别:
This work is supported by the Science Foundation of Hunan Educational Committee.
机构署名:
本校为第一且通讯机构
院系归属:
理学院
摘要:
In this paper, we consider the n-order neutral delay differential equation with unstable type ((x(t) - p(t)x(t - tau))((n)) = q(t)vertical bar x(t - sigma)vertical bar(alpha-1)x(t - sigma), t >= t(0), where n >= 2 is an even integer, alpha >= 1, tau > 0, sigma > 0 and p, q is an element of C([t(0), +infinity], R+). We first prove that this equation always has an unbounded positive solution, then some new bounded oscillation and nonoscillation criter...

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