A discrete analogue of Lyapunov-type inequalities for nonlinear difference systems

Abstract

AbstractIn this paper, we establish several new Lyapunov-type inequalities for the nonlinear difference system {Δx(n)=α(n)x(n+1)+β(n)|y(n)|μ−2y(n),Δy(n)=−γ(n)|x(n+1)|ν−2x(n+1)−α(n)y(n), when the end-points are not necessarily usual zeros, but rather, generalized zeros. Our results improve almost all related existing ones