Abstract
We consider a boundary value problem (BVP) for systems of second-order dynamic equations on time scales. Using methods involving dynamic inequalities, we formulate conditions under which all solutions to a certain family of systems of dynamic equations satisfy certain a priori bounds. These results are then applied to guarantee the existence of solutions to BVPs for systems of dynamic equations on time scales.
Acknowledgments
This research was supported by NSF Grant 0072505 and The Australian Research Council's Discovery Projects (DP0450752), The Australian Academy of Science's “Scientific Visits Program” and The University of New South Wales.
Notes
Email: [email protected]
Email: [email protected]
Email: [email protected]