Qualitative properties of Hamiltonian difference systems

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Abstract

We study some qualitative properties of the Hamiltonian difference system Δy(t) = B(t) y(t + 1) + C(t) z(t) Δz(t) = −A(t) y(t + 1) − B(t) z(t). The methods used involve both variational and Riccati type arguments

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Research supported by NSERC-Canada.