【摘要】 本文主要建立了如下的线性脉冲差分方程xn+1 - xn+ ∑mi=1pi(n) xn- ki =0 ,n≥ 0 ,n≠ nj,xnj+1 - xnj =bjxnj,j =1 ,2 ,… ,解的振动性和稳定性分别与一时滞差分方程振动性和稳定性等价 ,进而给出其振动性和稳定性显著充分条件 .更多还原

【Abstract】 The main results of this paper are that the oscillation and the stability of the linear impulsive delay difference equationx n+1 -x n+∑mi=1p i(n)x n-k i =0, n≥0,n≠n j, x n j+1 -x n j =b jx n j , j=1,2,…,are equivalent respectively to the oscillation and the stability of a corresponding linear delay difference equation without impulses. Two explicit sufficient conditions for oscillation and stability ae given.更多还原