一类时滞差分方程解的振动性和渐进性  

Oscillatory and asymptotic behavior of solutions for a class delay difference equations

作　　者：吕晓静[1] 郭金萍[1] 

机构地区：[1]天津工程师范学院理学院,天津300222

出　　处：《天津工程师范学院学报》2009年第2期33-36,共4页Journal of Tianji University of Technology and Education

基　　金：天津工程师范学院科研发展资助项目(KJ0819.)

摘　　要：讨论了一类二阶时滞差分方程△(an(△yn)σ)+qn f(yτn+1)g(△yn)=0解的振动性和渐进性。借助于方程系数的讨论,通过构造函数序列,用反证法给出当σ=奇数/奇数时方程解振动的充分条件和当σ=偶数/奇数时方程解的渐进性质。Oscillatory and asymptotic behavior of solutions for a class delay difference equations. The coefficient of equations are given by using the construction of sequence of functions is analyzed. Recurring to the discussion of the oscillatory behavior of equation when is the value of an odd over another odd, the asymptotic behavior of equation when is the value of an even over an odd is eonclued. The way is to proof by contradiction and classification.

关 键 词：差分方程 时滞 振动性 渐进性 

分 类 号：O175.7[理学—数学]