摘要
利用Banach空间的Knaster不动点定理,证明了一类具有可变时滞的奇数阶非线性中立型差分方程最终正解的存在条件和与之相应的差分不等式最终正解的存在条件等价.
Consider nonlinear neutral type difference equations of odd order with variable delays:△^m(xn-Pnxn-1)+qnf(xn-kn)=0,n=0,1,2,……By using the Knaster tixed point theorem in Banach space, the necessary and sufficient condition of existence for bounded eventually positive solution of these equations was obtained.
出处
《仲恺农业技术学院学报》
2005年第3期6-9,共4页
Journal of Zhongkai Agrotechnical College
基金
广东省教育厅自然科学研究项目资助(Z03052)
关键词
非线性中立型差分方程
可变时滞
最终正解
nonlinear neutral difference equations
variable delay
eventually positive solution