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含有极大值的二阶差分方程的有界振动性和非振动性
引用本文:刘雪飞,钟晓珠,许红叶,王寅琮,赵芬.含有极大值的二阶差分方程的有界振动性和非振动性[J].郑州大学学报(自然科学版),2012(2):39-42.
作者姓名:刘雪飞  钟晓珠  许红叶  王寅琮  赵芬
作者单位:燕山大学理学院,河北秦皇岛066004
基金项目:河北省教育厅科学研究基金资助项目,编号Z2007431.
摘    要:研究了带有极大值的二阶差分方程,讨论了有界解的振动性和非振动性,在已有的含有极大值的一阶差分方程有关文献的基础上对一些结论进行了扩展,主要运用了不等式的放缩法得出了含有极大值的二阶差分方程的振动性和非振动性.

关 键 词:极大值  差分方程  振动  非振动

The Bounded Oscillation and Nonoscillation of the Second-order Difference Equation with Maxima
LIU Xue-fei,ZHONG Xiao-zhu,XU Hong-ye,WANG Yin-cong,ZHAO Fen.The Bounded Oscillation and Nonoscillation of the Second-order Difference Equation with Maxima[J].Journal of Zhengzhou University (Natural Science),2012(2):39-42.
Authors:LIU Xue-fei  ZHONG Xiao-zhu  XU Hong-ye  WANG Yin-cong  ZHAO Fen
Institution:( School of Science, Yanshan University, Qinhuangdao 066004, China)
Abstract:The oscillation and nonoscillation of the second-order difference equation with maxima were studied. Based on previous literature of the oscillation of the first-order difference equation with maxima, some results were extended. Through the method of shrinkage second-order difference equation with maxima were obtained. , the oscillation and nonoscillation of the
Keywords:maxima  difference equation  oscillation  nonoscillation
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