| 二阶非线性时滞差分方程解的振动性 |
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| 引用本文： | 田亚州,范敏,孟凡伟.二阶非线性时滞差分方程解的振动性[J].数学的实践与认识,2011,41(24). |
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| 作者姓名： | 田亚州 范敏 孟凡伟 |
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| 作者单位： | 1. 青岛理工大学(临沂)基础部,山东 费县,273400
2. 曲阜师范大学数学科学学院,山东 曲阜,273165 |
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| 基金项目： | 国家高等学校博士点科研基金(20103705110003); 山东省自然科学基金(ZR2009AM011) |
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| 摘 要： | 研究了二阶非线性时滞差分方程△(α_n(△(x_n+p_nx_(n-r)))~γ)+bn(△(x_n+p_nx_(n-T)))~γ+f(n,x_(n-σ))=0给出方程振动的充分条件,推广和改进了中立时滞差分方程的许多结果.
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| 关 键 词： | 振动性 二阶 差分方程 |
Oscillation Criteria for Second-Order Nonlinear Delay Difference Equations |
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| TIANYa-zhou
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FAN Min
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MENG Fan-wei.Oscillation Criteria for Second-Order Nonlinear Delay Difference Equations[J].Mathematics in Practice and Theory,2011,41(24). |
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| Authors: | TIANYa-zhou FAN Min MENG Fan-wei |
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| Institution: | TIAN Ya-zhou~1,FAN Min~1,MENG Fan-wei~2 (1.Department of Basic Courses,Qingdao Technological University(Linyi),Feixian 273400,China) (2.Department of Mathatics,Qufu Nomal University,Qufu 273165,China) |
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| Abstract: | This paper mainly studied the oscillation criteria for the second-order nonlinear neutral delay difference equationΔ(a_n(Δ(x_n + P_nX_(n-τ))~γ) + b_n(Δ(x_n+ p_nx_(n-τ)))~γ+ f(n,x_(n-σ)) = 0 meanwhile,we acquired some sufficient conditions for the oscillation of the equation,which has improved and generalized the main results of neutral delay difference equation. |
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| Keywords: | oscillation second-order difference equations |
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