Electron. J. Diff. Eqns., Vol. 2005(2005), No. 134, pp. 1-18.

Oscillation criteria for first-order nonlinear neutral delay differential equations

Elmetwally M. Elabbasy, Taher S. Hassan, Samir H. Saker

Abstract:
Oscillation criteria are obtained for all solutions of first-order nonlinear neutral delay differential equations. Our results extend and improve some results well known in the literature. Some examples are considered to illustrate our main results.

Submitted August 2, 2005. Published November 30, 2005.
Math Subject Classifications: 34K15, 34C10.
Key Words: Oscillation; non-oscillation; neutral delay of differential equations.

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Elmetwally M. Elabbasy
Department of Mathematics
Faculty of Science, Mansoura University
Mansoura, 35516, Egypt
email: emelabbasy@mans.edu.eg
Taher S. Hassan
Department of Mathematics
Faculty of Science, Mansoura University
Mansoura, 35516, Egypt
email: tshassan@mans.edu.eg
Samir H. Saker
Department of Mathematics
Faculty of Science, Mansoura University
Mansoura, 35516, Egypt
email: shsaker@mans.edu.eg

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