Advances in Difference Equations
Volume 2006 (2006), Article ID 60860, 12 pages
doi:10.1155/ADE/2006/60860
Oscillation and nonoscillation for impulsive dynamic equations on certain time scales
Mouffak Benchohra1
, Samira Hamani1
and Johnny Henderson3
1Laboratoire de Mathématiques, Université de Sidi Bel Abbés, BP 89, Sidi Bel Abbés 22000, Algeria
3Department of Mathematics, Baylor University, Waco, Tx 76798-7328, USA
Abstract
We discuss the existence of oscillatory and nonoscillatory solutions for first-order impulsive dynamic equations on time scales with certain restrictions on the points of impulse. We will rely on the nonlinear alternative of Leray-Schauder type combined with a lower and upper solutions method.