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On the stability of solutions to a certain fourth-order delay differential equation

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Abstract

The paper gives sufficient conditions to ensure the asymptotic stability of the zero solution of a certain fourth-order delay differential equation. By constructing a Lyapunov functional, we obtain a new result which includes and improves some related results existing in the relevant literature.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Sciences, Yüzüncü Yıl University, 65080, Van, Turkey

    Cemil Tunç

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  1. Cemil Tunç
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Correspondence to Cemil Tunç.

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AMS Subject Classification Number: 34K20

This paper was presented at the International Congress of Mathematicians, ICM, August 22–30, 2006, Madrid, Spain.

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Tunç, C. On the stability of solutions to a certain fourth-order delay differential equation. Nonlinear Dyn 51, 71–81 (2008). https://doi.org/10.1007/s11071-006-9192-z

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