ANZIAM J.
46 (2004), 17-32
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Oscillation of symplectic dynamic systems
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Martin Bohner
University of Missouri-Rolla
Department of Mathematics and Statistics
115 Rolla Building
Rolla, Missouri 65409-0020
USA
bohner@umr.edu
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Ondrej Doslý
Masaryk University Brno
Department of Mathematics
Faculty of Science
Janáckovo nám. 2a
CZ-66295 Brno
Czech Republic
dosly@math.muni.cz
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Abstract
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We investigate oscillatory properties of a
perturbed symplectic dynamic system on a time
scale that is unbounded above. The unperturbed
system is supposed to be nonoscillatory, and we
give conditions on the perturbation matrix, which
guarantee that the perturbed system becomes
oscillatory. Examples illustrating the general
results are given as well.
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