摘要
本文考虑变时滞差分方程Xn +1-Xn+PnXn -kn =0和Xn +1-Xn +Pnf(Xn-kn) =0解的振动性。获得了两方程所有解振动的新的充分条件。所得结果推广了Erbe ,B .G .
In this paper, we study oscillation of the following difference equation with varable dlelay: X n+1 -X n+P n X n-k n =0 n=0,1,2,… and X n+1 -X n+P nf(X n-k n )=0 Where P n≥o, {k n} is a sequence of positive integer, lim n→∞{n-k n}=∞, uf(u)>0, u≠0, f ∈ C(R,R) We obtain some sufficient codilitions for the oscillation of two equations and extend the results of Erbe, Zhang and other authers.
出处
《郴州师范高等专科学校学报》
2000年第2期6-11,共6页
Journal of Chenzhou Teachers College