Title: Oscillation theorems for second order differential inclusions

Authors: Ravi P. Agarwal, Said R. Grace, Donal O'Regan

Addresses: Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA. ' Faculty of Engineering, Department of Engineering Mathematics, Cairo University, Orman, Giza 12221, Egypt. ' Department of Mathematics, National University of Ireland, Galway, Ireland

Abstract: Some oscillation theorems for the second order differential inclusion of the form (a(t)y′(t))′ ∈ e(t) + F(t,y(t)) for a.e. t ≥ t₀ ≥ 0 are presented.

Keywords: oscillation theorems; non-oscillations; superlinear; sublinear; differential inclusions.

DOI: 10.1504/IJDSDE.2007.016509

International Journal of Dynamical Systems and Differential Equations, 2007 Vol.1 No.2, pp.85 - 88

Published online: 06 Jan 2008 *

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