Electron. J. Math. Phys. Sci., 2002, 1,1, 72-91

EXISTENCE RESULTS FOR IMPULSIVE FUNCTIONAL AND NEUTRAL FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH LOWER SEMICONTINUOUS RIGHT HAND SIDE

 

Mouffak Benchohra 1, Johnny Henderson 2*, Sotiris Ntouyas3 and Ahmed Ouahabi 1

1 Laboratoire de Mathé matiques, Université de Sidi Bel Abbés, BP 89, 22000 Sidi Bel Abbés, Algerié

2 Department of Mathematics, Baylor University, Waco, TX 76798-7328, USA

3 Department of Mathematics,University of Ioannina, 45110 Ioannina, Greece

*Corresponding Author. E-mail: Johnny_Henderson@baylor.edu

Received: 16 April 2002/ Accepted: 13 July 2002/ Published: 22 August 20002

 

Abstract: In this paper, Schaefer's fixed point theorem combined with a selection theorem due to Bressan and Colombo is used to investigate the existence of solutions for first and second order impulsive functional and neutral differential inclusions with lower semicontinuous and nonconvex-valued right-hand side.

 

Keywords: Impulsive differential inclusions, selection, existence, fixed point

AMS Mathematical Subject Classification: 34A37, 34A60

 

 

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