Electron. J. Diff. Equ., Vol. 2012 (2012), No. 151, pp. 1-11.

Forced oscillation for higher order functional differential equations

Yuan Gong Sun, Taher S. Hassan

We establish some oscillation criteria for the solutions to forced higher-order differential equations. We do not assume that the forcing term is the n-th derivative of an oscillatory function, and do not assume that the coefficients are of a definite sign. Our results are illustrated with examples.

Submitted June 5, 2012. Published August 31, 2012.
Math Subject Classifications: 34C10, 34C15.
Key Words: Oscillation; higher order; differential equations.

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Yuan Gong Sun
School of Mathematical Sciences
University of Jinan, Jinan 250022, China
email: sunyuangong@yahoo.cn
Taher S. Hassan
Department of Mathematics, Faculty of Science
Mansoura University
Mansoura, 35516, Egypt
email: tshassan@mans.edu.eg

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