Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay

Authors

  • Abdelouaheb Ardjouni UBMA.
  • Ahcene Djoudi UBMA.

DOI:

https://doi.org/10.4067/S0716-09172013000400006

Keywords:

Positive periodic solutions, Nonlinear neutral differential equations, Fixed point theorem.

Abstract

In this article we study the existence of positive periodic solutions for two types of second-order nonlinear neutral differential equation with variable delay. The main tool employed here is the Krasnosel-skii's fixedpoint theoremdealing withasum of twomappings, one is a contraction and the other is completely continuous. The results obtained here generalize the work of Cheung, Ren and Han 7.

Author Biographies

Abdelouaheb Ardjouni, UBMA.

Department of Mathematics, Faculty of Sciences P. O. Box 12 Annaba.

Ahcene Djoudi, UBMA.

Department of Mathematics, Faculty of Sciences P. O. Box 12 Annaba.

References

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How to Cite

[1]
A. Ardjouni and A. Djoudi, “Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay”, Proyecciones (Antofagasta, On line), vol. 32, no. 4, pp. 377-391, 1.

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