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On the instability of solutions of an eighth order nonlinear differential equation of retarded type

    1. [1] Yüzüncü Yıl University

      Yüzüncü Yıl University

      Turquía

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 30, Nº. 1, 2011, págs. 43-50
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172011000100004
  • Enlaces
  • Resumen
    • In this paper, we give some sufficient conditions on the instability of the zero solution of a kind of eighth order nonlinear differential equations of retarded type by using the Lyapunov direct method. The obtained sufficient conditions improve an existing result in the literature.

  • Referencias bibliográficas
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    • [3] Haddock, John R. ; Ko, Y., Liapunov-Razumikhin functions and an instability theorem for autonomous functional-differential equations with...
    • [4] Iyase, S. A., Periodic solutions of certain eighth order differential equations. J. Nigerian Math. Soc. 14/15, pp. 31-39, (1995/1996).
    • [5] Krasovskii, N. N., On conditions of inversion of A. M. Lyapunov’s theorems on instability for stationary systems of differential equations....
    • [6] Tun¸c, C., Instability of solutions of a certain non-autonomous vector differential equation of eighth-order. Ann. Differential Equations...
    • [7] Tun¸c, C., Nonexistence of nontrivial periodic solutions to a class of nonlinear differential equations of eighth order. Bull. Malays....
    • [8] Tunc, C.; Tunc, E., An instability theorem for a class of eighth-order differential equations. (Russian) Differ. Uravn. 42 (2006), No....
    • [9] Tun¸c, C., An instability theorem for solutions of a kind of eighth order nonlinear delay differential equations. World Applied Sciences...

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