一类时滞偏差分方程的振动性

Oscillation of a Delay Partial Difference Equation

利用反证法讨论一类时滞偏差分方程Am+1,n+Am,n+1-CAm,n+Pm,nAm-k,n-1=0的振动性,找出了几个只由系数和偏差所表示的振动的充分条件,对文献[2]的某些结果进行了改进和补充,得到了一些新的结果.

In this paper,the author discusses the following delay partial difference equations A(m+1,n)+A(m,n+1)-CA(m,n)+P(m,n)A(m-k,n-1)=0 and obtains new results which are some sufficient conditions only concerning coefficients and deviate arguments for every solution oscillating.