Ir al contenido

Documat


Asymptotic behavior of solutions of the functional differential equation x'(t) = a(t)x(r(t)) + bx(t)

  • Autores: Manuel Pinto
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 10, Nº. 17, 1991, págs. 59-76
  • Idioma: inglés
  • DOI: 10.22199/S07160917.1991.0017.00007
  • Enlaces
  • Resumen
    • We study the global existence, the stability and the asymptotic behavior of solutions of the functional differential equations x ' ( t) = a ( t) x (r (t)) + bx( t), b ∊ R where r is a continuous contraction at infinity.

  • Referencias bibliográficas
    • Citas R. BELLMAN and K. COOKE, "Differential-Difference Equations", Academic Press, New York, 1963.
    • N. DE BRUIJN, The Difference-Differential Equations F'(x) = e⍺x+β F(x-1), i, ii, Neder1. Akad. Wetensch. Proc. Ser. A. 56 (1953)...
    • N. DE BRUIJN, The Asymptotically Periodic Behavior of the Solutions of some Linear Functional Equations, Amer. J. Math. 75(1953), 313-330.
    • R. DRIVER, Ordinary and Oelay Differential Equations", Springer- Verlag, New York, 1977.
    • R. DRIVER, Existence and Stability of Solutions of a Delay-Differential System, Areh. Rat. Meeh. Anal. 10(5), 1962, 401-426.
    • L. FOX, D.F. MAYERS, J.R. OCKENDON and A.B. TAYLOR, On a Functional Differential, J. Inst. Math. Applics 8(1971), 271-307.
    • J. HADDOCK, "Functional Differential Equations for which each constant Function is a Solution: A Narrative", Proc. of the 11th Intern....
    • J. HALE, "Functional Differential Equations", Springer-Verlag, New York, 1971.
    • M. HEARD, Asymptotic Behavior of Solutions of the Functional Differential Equation x'(t) = ax(t) + bx(t⍺), ⍺ > 1, J. Math....
    • T. KATO and J.B. Mc LEOD, The Functional Difference Equation y' (x) = ay(λx) + by(x), Bull. Amer. Math. Soc. 77 (1971), 891-937.
    • T. KATO, "Asymptotic Behavoir of Solutions of the Functional Differential Equation y'(x) = ay(λx) + by(x), in Delay and Functional...
    • N. KRASOVSKI, "Stability of Motion" (Translated from Russian), Stanford, University Press, Stanford, Calif., 1963.
    • E. LIM, Asymptotic Behavior of Solutions of the Functional Differential Equation x'(t) = Ax(λt) + Bx(t), λ > O, Journal Math....
    • K. MAHLER, "On a special Functional Equation", J. London Math. Soc. 15(1940), 115-123.
    • J.B. Me LEOD, The Functional-Differential Equations y'(x) = ay(λx) + by(x) and Generalizations, Lecture Notes Math. 280 (1972),...
    • M. PINTO, Functional Differential Equations with Several Lags, To appear.
    • M. PINTO, Asymptotic Integration of a Class of Second Order Retarded Differential Equations, To appear.
    • J. YORKE, Asymptotic Stability for one Dimensional Differential Equations, 7(1969), 189-202.
    • T. YONEYAMA, On the Stability for the Delay-Differential Equation x'(t) = -a(t)f(x(t-r(t))), J. Math. Anal. Math. 120(1986), 271-275.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno