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Stability results for the solutions of certain non-autonomous differential equations of fifth -order

    1. [1] Yüzüncü Yıl University

      Yüzüncü Yıl University

      Turquía

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 25, Nº. 1, 2006, págs. 1-18
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172006000100001
  • Enlaces
  • Resumen
    • The paper is concerned with the stability of solutions of a class of general type fifth order non-autonomous differential equations (1.3) and (1.4). It is shown that under some less restrictive conditions that all solutions of (1.3) and (1.4) tend to zero as t → ∞. Our results improve that the results obtained by Sadek [9].

  • Referencias bibliográficas
    • Citas [1] Abou-El-ela, A.M.A; Sadek, A.I., A stability result for the solutions of certain fifth-order differential equations. Bull. Fac....
    • [2] Abou-El-ela, A.M.A; Sadek, A.I., On the asymptotic behaviour of solutions of certain non-autonomous differential equations. J.Math. Anal....
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    • [5] Chukwu, E.N., On the boundedness and stability properties of solutions of some differential equations of the fifth order. Ann.Math.Pura.Appl.,...
    • [6] Chukwu, E.N. On the boundedness and the stability of solutions of some differential equations of the fifth order. SIAM. J.Math.. Anal....
    • [7] Chukwu, E.N., Complete stability and boundedness of solutions of a nonlinear differential equation of fifth order. Stability of dynamical...
    • [8] Sadek, A.I., On the asymptotic behaviour of solutions of certain fifthorder ordinary differential equations. Appl. Math. Comput. 131 (1),...
    • [9] Sadek, A.I., On the stability of the solutions of certain fifth order nonautonomous differential equations. Archivum Mathematicum (Brno)...
    • [10] Tunç, C., On the boundedness and the stability results for the solutions of certain fifth order differential equations. Istanbul Univ....
    • [11] Tunç, C., On the boundedness and the stability results for the solutions of certain fifth order differential equations. Ann. Differential...
    • [12] Tunç, C., A study of the stability and boundedness of the solutions of nonlinear differential equations of the fifth order. Indian J....
    • [13] Tunç, C., On the asymptotic behaviour of solutions of certain fifthorder ordinary differential equations. Applied Mathematics and Mechanics...
    • [14] Tunç, C., A study of the asymptotic behaviour of solutions of certain non-autonomous differential equations of the fifth order. Appl....
    • [15] Tunç, C., A result on the asymptotic behaviour of solutions of certain non-autonomous differential equations of the fifth order. Nonlinear...
    • [16] Yu, Y. H., Stability and boundedness of solutions to nonlinear differential equations of the fifth order. (Chinese) J. Central China...
    • [17] Yoshizawa, T., Stability theory by Liapunov’s second method. Publications of the Mathematical Society of Japan, Tokyo (1966).

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