【摘要】 研究了一类有理差分方程y(n+1)=pyn+y(n-k)/qyn+y(n-k),n∈N0,p,q,y-k,,y-1,y0∈[0,∞)的周期性和振动性.从而部分的证明了M.Kulenovic和G.Ladas在文[7]中提出的一个公开问题。更多还原

【Abstract】 This paper studies the periodic and oscillatory character of the difference equation y(n+1)=pyn+y(n-k)/qyn+y(n-k),n∈N0 where p,q≥0 are real numbers,k ∈N,and the initial conditions y-k,…,y-1, y0 are nonnegative real numbers such that y-k or y0 or both are positive real numbers.Our results partly prove the Open Problem 6.10.17 in [7] promoted by M.Kulenovic and G.Ladas.更多还原