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

• Ardjouni, Abdelouaheb ^[1] ; Djoudi, Ahcene ^[1]
  1. [1] Badji Mokhtar University

     Badji Mokhtar University

     Argelia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 32, Nº. 4, 2013, págs. 377-391
• Idioma: inglés
• DOI: 10.4067/S0716-09172013000400006
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• Resumen

  • 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.

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