Title: On the oscillation of certain fourth order functional differential equations

Authors: Said R. Grace, Ravi P. Agarwal, Raffaella Pavani, Jelena V. Manojlovic

Addresses: Faculty of Engineering, Department of Engineering Mathematics, Cairo University, Orman, Giza 12221, Egypt. ' Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA. ' Department of Mathematics, Politecnico diMilano, 20133 Milano, Italy. ' Faculty of Science and Mathematics, Department of Mathematics and Computer Science, University of Nis, Visegradska 33, 18000 Nis, Serbia

Abstract: Some new criteria for the oscillation of the fourth order functional differential equation (1/a(t)(x″(t))^α)″ = q(t)f(x[g(t)]) + p(t)h(x[σ(t)]) are established.

Keywords: comparison; functional differential equations; fourth order FDE; nonoscillation; oscillation.

DOI: 10.1504/IJDSDE.2008.019677

International Journal of Dynamical Systems and Differential Equations, 2008 Vol.1 No.3, pp.155 - 163

Published online: 20 Jul 2008 *

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