带有极大值项的脉冲差分方程

Impulsive Difference Equations with Maxima

考虑带极大值项的脉冲差分方程Δ( xn + pnxn- k) + qn maxs∈ [n- l,n]xx =0 ,n∈ N,n≠ nj,xnj+ 1 =bjxnj.建立了方程的解与一非脉冲差方程的解之间的等价关系 .

Considering the impulsive difference equation with “maxima”Δ(x-np-nx-{n-k})q-n maxs∈[n-l,n]x x0,n∈N,n≠n-j,x-{n-j1}b-jx-{n-j} ,it is proved that the solutions of the equation is equivlent to the solutions of a difference equation without impulses.