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Oscillation of symplectic dynamic systems

Published online by Cambridge University Press:  17 February 2009

Martin Bohner  and
Ondřej Došlý
Martin Bohner
Affiliation:
University of Missouri-Rolla, Department of Mathematics and Statistics, 115 Rolla Building, Rolla, Missouri 65409-0020, USA; e-mail: [email protected].
Ondřej Došlý
Affiliation:
Masaryk University Brno, Department of Mathematics, Faculty of Science, Janáčkovo nám. 2a, CZ–66295 Brno, Czech Republic; e-mail: [email protected].
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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 46 , Issue 1 , July 2004 , pp. 17 - 32
Copyright
Copyright © Australian Mathematical Society 2004

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