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  • Research Article
  • Open Access

Oscillation and nonoscillation for impulsive dynamic equations on certain time scales

Advances in Difference Equations20062006:060860

  • Received: 1 December 2005
  • Accepted: 9 March 2006
  • Published:


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.


  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation


Authors’ Affiliations

Laboratoire de Mathématiques, Université de Sidi Bel Abbés, BP 89, Sidi Bel Abbés 22000, Algeria
Department of Mathematics, Baylor University, Waco, Tx 76798-7328, USA


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© Mouffak Benchohra et al. 2006

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