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On the asymptotic behavior of the solutions of third order delay differential equations

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Abstract

By constructing a Lyapunov functional, we obtain some sufficient conditions which guarantee the stability and boundedness of solutions for some nonlinear differential equations of third order with delay. Our result improve and generalize existing results in the relevant literature of nonlinear third order differential equations.

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Authors and Affiliations

  1. Department of Mathematics, University of Oran, 31000, Oran, Algeria

    Moussadek Remili & Djamila Beldjerd

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  1. Moussadek Remili
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  2. Djamila Beldjerd
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Correspondence to Moussadek Remili.

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Remili, M., Beldjerd, D. On the asymptotic behavior of the solutions of third order delay differential equations . Rend. Circ. Mat. Palermo 63, 447–455 (2014). https://doi.org/10.1007/s12215-014-0169-3

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  • DOI: https://doi.org/10.1007/s12215-014-0169-3

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