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

In this paper, we establish several new Lyapunov-type inequalities for the nonlinear difference system {@Dx(n)[email protected](n)x(n+1)[email protected](n)|y(n)|^@m^-^2y(n),@Dy(n)[email protected](n)|x(n+1)|^@n^-^2x(n+1)[email protected](n)y(n), when the end-points are not necessarily usual zeros, but rather, generalized zeros. Our results improve almost all related existing ones.

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