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Existencia y comportamiento asintotico de una clase de ecuaciones con retardo

  • Gallardo P., Julio [1] ; Pinto, Manuel [2]
    1. [1] Universidad de La Frontera

      Universidad de La Frontera

      Temuco, Chile

    2. [2] Universidad de Chile

      Universidad de Chile

      Santiago, Chile

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 12, Nº. 1, 1993, págs. 45-62
  • Idioma: español
  • DOI: 10.22199/S07160917.1993.0001.00005
  • Enlaces
  • Resumen
    • By means of Tychonoff 's Theorem on the fixed point, we obtain existence theorems and asymptotic formulae for the solutions of a certain class of delay-differential equations.

  • Referencias bibliográficas
    • Citas [1] Cooke, K.: Functional ditferential equations close to differential equations, Bull. Amer. Math. Soc.72, :285-288, 1966.
    • [2] Cooke, K.: Functional differential equations with asymptotically vanishing lag, Rend. Circ. Mat. Palermo XVI, 39-56, 1967.
    • [3] Cooke, K .: Asymptotic theory for the delay-differential equations u' (t) = -au(t- r(u(t))), J. Math. Anal. Appl. 19, 160-173,...
    • [4] Donoso, A.; Pinto, M.: Asymptotic behavior of solution of x'( t) =A(t )x(t-r(t) ), Pre-print University of Chile, 1992.
    • [5] Gallardo. J.: Pinto, M.: Asymtotic integration of delay-differential systems with time and state dependent, Submitted.
    • [6] Hale, J.: Functional differential equations, Springer- Verlag, 1977.
    • [7] Pinto, M.: Asymptotic integration of the functional differential equations, y'(t) = a(t)y(t- r·(t, y)), J. Math. Anal. Appl.,...
    • [8] Pinto, M.: Green-Liouville formulac for second order delay differential equations, Submitted,
    • [9] Pinto, M.: Uniform asymptotic stability of solutions of y'(t) = f(t, y(t-r(t))), Submitted,
    • [10] Pinto, M.: Functional differential equations close to ordinary differential equations, Submitted,
    • [11] Pinto, M.: Asymptotic behavior of solutions of the functional differential equations x'(t) = a(t)x(r(t)) + bx(t), b ∈ R,...

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