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We establish several new Lyapunov-type inequalities for some nonlinear difference system when the end-points are not necessarily usual zeros, but rather generalized zeros. Our results generalize in some sense the known ones. As an application, we develop disconjugacy criteria by making use of the obtained inequalities. MSC: 34D20, 39A99. © 2013 Zhang et al.; licensee Springer.

Lyapunov-type inequalities and disconjugacy for some nonlinear difference system