Asymptotic equilibrium for certain type of differential equations with maximum

Authors

  • Patricio González Universidad Arturo Prat.
  • Manuel Pinto Universidad de Chile.

DOI:

https://doi.org/10.4067/S0716-09172002000100002

Keywords:

Differential equations with maximum, asymptotic representation, asymptotic equilibrium, Banach fixed point theorem, ecuaciones diferenciales con máximo, representación asintótica, equilibrio asintótico, teorema de punto fijo de Banach.

Abstract

In this work we obtain asymptotic representations for the solutions of certain type of differential equations with maximum. We deduce the asymptotic equilibrium for this class of differential equations.

Author Biographies

Patricio González, Universidad Arturo Prat.

Departamento de Ciencias Físicas y Matemáticas.

Manuel Pinto, Universidad de Chile.

Facultad de Ciencias, Departamento de Matemáticas.

References

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[5] P. González and M. Pinto, Asymptotic behavior of impulsive differential equations, Rocky Mountain Journal of Mathematics, 26, pp. 165 - 173, (1996).

[6] P. González and M. Pinto, Asymptotic behavior of the solutions of certain complex differential equations, Differential Equations and Dinamical Systems, 5, pp. 13 - 23, (1997).

[7] J. Guzman and M. Pinto, Global existence and asymptotic behavior of solutions of nonlinear differential equations, J, Math. Anal. Appl. 186, pp. 596 - 604, (1994).

[8] A. D. Myshkis, On some problems of the theory of differential equations with deviating argument, Russ. Math. Surv. 32 (2), pp. 181 - 210, (1977).

[9] M. Pinto, Asymptotic Integration of System Resulting from a Perturbation of an h-system, J. Math. Anal. Appl. 131, pp. 144-216, (1988).

[10] M. Pinto, Impulsive Inequalities of Bihari Type. Libertas Math. 12, pp. 57-70, (1993).

[11] A. M. Samoilenko, E. P. Trofimchuk and N. R. Bantsur, Periodic and almost periodic solutions of the systems of differential equations with maxima. Proc. NAS Ukraine, pp. 53 - 57 (in Ukrainian), (1998).

Published

2017-05-22

How to Cite

[1]
P. González and M. Pinto, “Asymptotic equilibrium for certain type of differential equations with maximum”, Proyecciones (Antofagasta, On line), vol. 21, no. 1, pp. 9-19, May 2017.

Issue

Section

Artículos