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

Abstract:
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.

Show me the PDF file (222 KB), TEX file, and other files for this article.

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

Return to the EJDE web page