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Discrete Hamiltonian systems
Abstract
Various systems and equations equivalent to discrete matrix and vector Hamiltonian systems are discussed. The first involves an initial value problem whose unique matrix solution pair is defined to be the sine and cosine matrix functions. The second section involves asymptotic behavior of solutions to a certain 2nth-order linear difference equation. The last involves establishing the positivity of the Green's function for an n-point right focal boundary value problem.
Subject Area
Mathematics
Recommended Citation
Anderson, Douglas Robert, "Discrete Hamiltonian systems" (1997). ETD collection for University of Nebraska-Lincoln. AAI9734605.
https://digitalcommons.unl.edu/dissertations/AAI9734605