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Asymptotic properties of solutions to third order neutral differential equations with delay.

  • Oudjedi, Linda D. [1] ; Lekhmissi, Belaib [1] ; Remili, Moussadek [1]
    1. [1] University of Oran

      University of Oran

      Argelia

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 1, 2019, págs. 111-127
  • Idioma: inglés
  • DOI: 10.4067/s0716-09172019000100111
  • Enlaces
  • Resumen
    • This paper concerns the asymptotic properties of solutions of a class of third-order neutral differential equations with delay. We give sufficient conditions for every solution to be converges to zero, bounded and square integrable. An example is also given to illustrate the results.

  • Referencias bibliográficas
    • A. T. Ademola, and P.O.Arawomo, Uniform stability and boundedness of solutions of nonlinear delay differential equations of third order. Math....
    • A. T. Ademola, and O. M. Arawomo, Ogunlaran and E. A. Oyekan, Uniform stability, boundedness and asymptotic behaviour of solutions of some...
    • O. Arino, M. L. Hbid, and E. Ait Dads, Delay differential equations and applications. NATO sciences series. Berlin, Springer, (2006).
    • B. Baculíková, J. Džurina, On the asymptotic behavior of a class of third order nonlinear neutral differential equations, Cent. Eur. J. Math.,...
    • B. Mihalíková and E. Kostiková, Boundedness and oscillation of third order neutral differential equations. Tatra Mt. Math. Publ. 43, pp. 137—144,...
    • P. Das and N. Misra, A necessary and sufficient condition for the solution of a functional differential equation to be oscillatory or tend...
    • B. Dorociaková, Some nonoscillatory properties of third order differential equations of neutral type. Tatra Mt. Math. Publ. 38, pp. 71—76,...
    • Z. Došla, P. Liška, Oscillation of third-order nonlinear neutral differential equations. Appl. Math. Lett., 56, pp. 42—48, (2016).
    • Z. Došla, P. Liška, Comparison theorems for third order neutral differential equations. Electronic Journal of Differential Equations, Vol....
    • L. E. El’sgol’ts, Introduction to the theory of differential equations with deviating arguments. Translated from the Russian by Robert J....
    • J. R. Graef, D. Beldjerd and M. Remili, On stability, ultimate boundedness, and existence of periodic solutions of certain third order differential...
    • J. R. Graef, L. D. Oudjedi and M. Remili Stability and square integrability of solutions of nonlinear third order differential equations....
    • M. R. S. Kulenovic, G. Ladas, A. Meimaridou, Stability of solutions of linear delay differential equations. Proc. Amer. Math. Soc., 100, pp....
    • M. O. Omeike, New results on the stability of solution of some nonautonomous delay differential equations of the third order. Differential...
    • L. D. Oudjedi, D. Beldjerd, and M. Remili, On the Stability of Solutions for non- autonomous delay differential equations of third-order,...
    • M. Remili, D. Beldjerd, A boundedness and stability results for a kind of third order delay differential equations. Applications and Applied...
    • M. Remili, and D. Beldjerd, On the asymptotic behavior of the solutions of third order delay differential equations. Rend. Circ. Mat. Palermo...
    • M. Remili, D. Beldjerd, On ultimate boundedness and existence of periodic solutions of kind of third order delay differential equations. Acta...
    • M. Remili, D. Beldjerd, Stability and ultimate boundedness of solutions of some third order differential equations with delay. Journal of...
    • M. Remili, and L. D. Oudjedi, Boundedness and stability in third order nonlinear differential equations with bounded delay. Analele Universităţii...
    • M. Remili, and L. D. Oudjedi, Boundedness and stability in third order nonlinear differential equations with multiple deviating arguments....
    • M. Remili, and L. D. Oudjedi, Stability and boundedness of the solutions of non autonomous third order differential equations with delay....
    • M. Remili, and L. D. Oudjedi, Stability of the solutions of nonlinear third order differential equations with multiple deviating arguments....
    • M. Remili, and L. D. Oudjedi, On asymptotic stability of solutions to third order nonlinear delay differential equation. Filomat, 30, 12,...
    • M. Remili, L. D. Oudjedi, and Beldjerd, D., On the qualitative behaviors of solutions to a kind of nonlinear third order differential equation...
    • M. Remili, and L. D. Oudjedi, Uniform stability and boundedness of a kind of third order delay differential equations, Bull. Comput. Appl....
    • M. Remili, and L. D. Oudjedi, Uniform ultimate boundedness and asymptotic behaviour of third order nonlinear delay differential equation....
    • Y.-Z. Tian, Y.-L. Cai, Y.-L. Fu, T.-X. Li, Oscillation and asymptotic behavior of third-order neutral differential equations with distributed...
    • C. Tunç, On the stability and boundedness of solutions to third order nonlinear differential equations with retarded argument. Nonlinear Dynam....
    • C. Tunç, Some stability and boundedness conditions for nonautonomous differential equations with deviating arguments, E. J. Qualitative Theory...
    • T.-X. Li, C.-H. Zhang, G.-J. Xing, Oscillation of third-order neutral delay differential equations. Abstr. Appl. Anal., 11 pages, (2012).
    • J. Yu, Z. Wang, C. Qian, Oscillation of neutral delay differential equation. Bull. Austral. Math. Soc. 45, pp. 195-200, (1992).
    • Yu Jianshe, Asymptotic stability for a class of nonautonomous neutral differential equations. Chin. Ann. of Math, 18 B (4), pp. 449-456, (1997).

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