一类二阶非线性中立型差分方程的振动性  

Oscillation for a Class of Second Order Non-linear Neutral Difference Equation

作　　者：侯艳红[1] 张建国[1] 庄需芹[1] 邹杰涛[1] 

机构地区：[1]北方工业大学理学院

出　　处：《数学的实践与认识》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)

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.

关 键 词：非线性 中立型 差分方程 振动性 

分 类 号：O175.7[理学—数学]