Electron. J. Diff. Equ., Vol. 2016 (2016), No. 215, pp. 1-15.

Oscillation criteria for third-order functional differential equations with damping

Martin Bohner, Said R. Grace, Irena Jadlovska

This paper is a continuation of the recent study by Bohner et al [9] on oscillation properties of nonlinear third order functional differential equation under the assumption that the second order differential equation is nonoscillatory. We consider both the delayed and advanced case of the studied equation. The presented results correct and extend earlier ones. Several illustrative examples are included.

Submitted June 23, 2016. Published August 12, 2016.
Math Subject Classifications: 34C10, 34K11.
Key Words: Oscillation; delay; advance; third order; damping; functional differential equation.

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Martin Bohner
Missouri University of Science and Technology
Department of Mathematics and Statistics
Rolla, Missouri 65409-0020, USA
email: bohner@mst.edu
Said R. Grace
Department of Engineering Mathematics
Faculty of Engineering, Cairo University
Orman, Giza 12221, Egypt
email: srgrace@eng.cu.edu.eg
Irena Jadlovska
Department of Mathematics and Theoretical Informatics
Faculty of Electrical Engineering and Informatics
Technical University of Kosice
Letna 9, 042 00 Kosice, Slovakia
email: irena.jadlovska@student.tuke.sk

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