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Oscillation of nonlinear neutral delay differential Equations

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Abstract

In this paper, we study the oscillatory behavior of first order nonlinear neutral delay differential equations. Several new sufficient conditions which ensure that all solutions are oscillatory are given. The obtained results extend and improve several known results in the literature. Some examples are considered to illustrate the main results.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Mansoura University, 35516, Mansoura, Egypt

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

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  1. Elmetwally M. Elabbasy
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  2. Taher S. Hassan
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  3. Samir H. Saker
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Correspondence to Taher S. Hassan.

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Elabbasy, E.M., Hassan, T.S. & Saker, S.H. Oscillation of nonlinear neutral delay differential Equations. J. Appl. Math. Comput. 21, 99–118 (2006). https://doi.org/10.1007/BF02896391

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  • DOI: https://doi.org/10.1007/BF02896391

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