| 中立型Emden-Fowler泛函微分方程的振动准则 |
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| 引用本文： | 吴英柱.中立型Emden-Fowler泛函微分方程的振动准则[J].数学的实践与认识,2017(10):277-284. |
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| 作者姓名： | 吴英柱 |
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| 作者单位： | 广东石油化工学院数学系,广东茂名,525000 |
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| 基金项目： | 国家自然科学基金青年基金项目(11501131)，广东省科技厅产学研合作项目(2015B090903084)，广东省高等学校优秀青年教师培养计划资助项目(YQ2015117) |
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| 摘 要： | 建立了中立型Emden-Fowler泛函微分方程(r(t)z′(t)|~(α-1)z′(t))′+q(t)|x(δ(t))|~(β-1)x(δ(t))=0,t≥t_0的若干新的振动准则,其中z(t)=x(t)+p(t)x(τ(t)),α0,β0为常数.所得的结果推广和改进了近期文献的某些熟知的结果.
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| 关 键 词： | Emden-Fowler方程 中立型 Riccati变换 振动准则 |
Oscillation for Emden-Fowler Functional Differential Equations of Neutral Type |
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| Abstract: | In this paper we establish some new oscillation criteria for the generalized EmdenFowler functional differential equations of neutral type of the form Where z(t) =x(t) + p(t)x(τ(t)),α ＞ 0andβ ＞ 0.Our results improve some known results which were published recently in the literatures. |
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| Keywords: | emden-fowler equation neutral type riccati method oscillation criterion |
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