摘要
研究了二阶非线性中立型差分方程Δ2(xn+pxn-l)+qnf(xn-k)=0的振动性,获得了该类方程振动的三个充分性定理.所得结果将一阶非线性中立型差分方程已有振动性的相应结论推广到了二阶非线性中立型差分方程.
A class of second order non-linear neutral difference equation Δ^2(xn+pxn-l)+qnf(xn-k)=0 is studied. Three sufficient conditions for the oscillation of all solutions of the equation are obtained. Our results generalize some known results of first order non-linear difference equation.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第24期157-160,共4页
Mathematics in Practice and Theory
基金
北京市教委科技基金资助项目(KM200610009004)
关键词
非线性
中立型
差分方程
振动性
non-linear
neutral
difference equation
oscillation