| 一类二阶非线性时滞差分方程的振动性 |
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| 引用本文： | 王冬梅,崔淑莉.一类二阶非线性时滞差分方程的振动性[J].海南大学学报(自然科学版),2014(2):106-110. |
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| 作者姓名： | 王冬梅 崔淑莉 |
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| 作者单位： | 海南大学信息科学技术学院;石河子大学理学院 |
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| 基金项目： | 海南省教育厅基金项目(Hjkj2013-09) |
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| 摘 要： | 利用分析技巧,结合Riccati变换,研究了方程Δ(xn+anxn-τ)kΔ(xn+anxn-τ)k]+bnf(xn-σ)=0,n≥n0在系数an,bn满足不同条件下的振动性,并举例说明.
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| 关 键 词： | 二阶 非线性 差分方程 振动 |
Oscillation Criteria of a Class of Second-order Nonlinear Delay Difference Equation |
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| WANG Dong-mei;CUI Shu-li.Oscillation Criteria of a Class of Second-order Nonlinear Delay Difference Equation[J].Natural Science Journal of Hainan University,2014(2):106-110. |
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| Authors: | WANG Dong-mei;CUI Shu-li |
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| Institution: | WANG Dong-mei;CUI Shu-li;College of Information Science and Technology,Hainan University;College of Sciences,Shihezi University; |
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| Abstract: | In the report,averaging skills and Riccati transformation were used to discuss the oscillation of the equations,Δ（ xn＋ anxn-τ）kΔ（ xn＋ anxn-τ）k]＋bnf（ xn-σ） =0,n≥n0,with which the coefficients,an,bn,satisfied under the different conditions. Some examples are given to illustrate the results. |
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| Keywords: | second-order nonlinear difference equations oscillation |
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