Advances in Difference Equations
Volume 2005 (2005), Issue 2, Pages 119-132
doi:10.1155/ADE.2005.119

First- and second-order dynamic equations with impulse

F. M. Atici and D. C. Biles

Department of Mathematics, Western Kentucky University, Bowling Green, KY 42101, USA

Received 3 December 2004; Revised 11 February 2005

Copyright © 2005 F. M. Atici and D. C. Biles. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present existence results for discontinuous first- and continuous second-order dynamic equations on a time scale subject to fixed-time impulses and nonlinear boundary conditions.