摘要
利用Riccati不等式与分析技巧,研究了一类二阶非线性差分方程解的振动性,得到了这类方程振动的充分条件,推广了已有文献的相关结果。并举例说明了定理的应用。
Oscillation criteria for a family of second order nonlinear difference equations wasinvestigated with Riccati inequality and some necessary analysis technique,the author obtained somesufficient conditions when solutions of the equation are oscillatory,which improves some known results.Finally,an example concerning the results was given.
作者
赵玉萍
ZHAO Yuping(College of Mathematics and Statistics,Qinghai Nationalities University,Xining 810007,Qinghai,China)
出处
《江汉大学学报(自然科学版)》
2017年第1期32-36,共5页
Journal of Jianghan University:Natural Science Edition
基金
国家自然科学基金资助项目(11361047)
关键词
非线性
差分方程
振动性
正解
nonlinear
difference equation
oscillation
positive solution