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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
【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.
【Abstract】 A class of second order non-linear neutral difference equation Δ2(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.
【基金】 北京市教委科技基金资助项目(KM200610009004)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2007年24期
- 【分类号】O175.7
- 【被引频次】6
- 【下载频次】67