Journal of Inequalities and Applications 
Volume 2005 (2005), Issue 2, Pages 189-205
doi:10.1155/JIA.2005.189

Multiple solutions for impulsive semilinear functional and neutral functional differential equations in Hilbert space

M. Benchohra,1 J. Henderson,2 S. K. Ntouyas,3 and A. Ouahab1

 1Laboratoire de Mathématiques, Université de Sidi Bel Abbès, BP 89, Sidi Bel Abbès 22000, Algeria
2Department of Mathematics, Baylor University, Waco, TX 76798-7328, USA
3Department of Mathematics, University of Ioannina, Ioannina 45110, Greece
Received 1 April 2003; Revised 30 April 2003

Abstract

The well-known Krasnoselskii twin fixed point theorem is used to investigate the existence of mild solutions for first- and second-order impulsive semilinear functional and neutral functional differential equations in Hilbert spaces.