一类非线性脉冲时滞差分方程解的振动性

OSCILLATION OF A CLASS OF IMPULSIVE NONLINEAR DIFFERENCE EQUATIONS

讨论具有多个滞量的非线性脉冲时滞差分方程Δx(n) = mi=1ri(n) 1-ex(n-li)1-λex(n-li) ,n≥ 0 ,n≠nk,x(nk+1) -x(nk) =bkx(nk) ,k=1,2 ,3… ,给出了方程每一个解都振动与存在非振动解的充分条件 .

Consider the nonlinear impulsive delay difference equation:Δx(n)=mi=1r i(n)1-e x(n-l-i)1-λe x(n-l-i), n≥0,n≠n-k, x(n-k+1)-x(n-k)=b-kx(n-k), k=1,2,3…,Sufficient conditions are obtained for the oscillation and nonoscillation of solutions of Eq.