Stability for planar linear discrete Hamiltonian systems with perturbations

ISSN： 0003-6811

Source： Applicable Analysis, Vol.92, Iss.8, 2013-08, pp. : 1704-1716

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Abstract

In this article, we will give several conditions under which the following planar linear discrete Hamiltonian system with perturbations has the same stability as the corresponding linear system Moreover, these conditions are shown to be necessary and sharp by examples.

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