赵玉萍, 刘喜兰. 一类三阶非线性差分方程的振动性*[J]. 云南大学学报(自然科学版), 2016, 38(5): 691-695. doi: 10.7540/j.ynu.20160107
引用本文: 赵玉萍, 刘喜兰. 一类三阶非线性差分方程的振动性*[J]. 云南大学学报(自然科学版), 2016, 38(5): 691-695. doi: 10.7540/j.ynu.20160107
ZHAO Yu-ping, LIU Xi-lan. Oscillation criteria for a family of third order nonlinear difference equations[J]. Journal of Yunnan University: Natural Sciences Edition, 2016, 38(5): 691-695. DOI: 10.7540/j.ynu.20160107
Citation: ZHAO Yu-ping, LIU Xi-lan. Oscillation criteria for a family of third order nonlinear difference equations[J]. Journal of Yunnan University: Natural Sciences Edition, 2016, 38(5): 691-695. DOI: 10.7540/j.ynu.20160107

一类三阶非线性差分方程的振动性*

Oscillation criteria for a family of third order nonlinear difference equations

  • 摘要: 研究一类三阶非线性差分方程的解的振动性和渐进性,利用分析法和Riccati变换技术,得到了这类方程解振动或者收敛于零的充分条件,推广了已有文献的相关结果.

     

    Abstract: Oscillation criteria and asymptotic properties for a family of third order nonlinear difference equations were investigated by using some necessary analysis technique and Riccati transformation technique.We obtained some sufficient conditions which solutions of the equation are either oscillatory or converges to zero,which improves some known results.

     

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