J. Aust. Math. Soc.  80 (2006), 1-12

Some nonoscillation criteria for inclusions

Ravi P. Agarwal   Department of Mathematical Sciences   Florida Institute of Technology   Melbourne FL 32901   USA   agarwal@fit.edu Said R. Grace   Department of Engineering Mathematics   Cairo University   Orman, Giza 12221   Egypt   and Donal O'Regan   Department of Mathematics   National University of Ireland   Galway   Ireland

Abstract

New nonoscillatory criteria are presented for second order differential inclusions. The theory relies on Ky Fan's fixed point theorem for upper semicontinuous multifunctions.

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