Oscillation of Symplectic Dynamic Systems
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.
O. Došlý and M. Bohner, "Oscillation of Symplectic Dynamic Systems," Australia and New Zealand Industrial and Applied Mathematics, Australian Mathematical Society, Jan 2004.
Mathematics and Statistics
Keywords and Phrases
Oscillation; perturbation matrix; symplectic dynamic systems
Article - Journal
© 2004 Australian Mathematical Society, All rights reserved.