Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation

Nouioua, Farid; Ardjouni, Abdelouaheb; Merzougui, Abdelkerim; Djoudi, Ahcene

Research Article

Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation

Farid Nouioua
Abdelouaheb Ardjouni*
Abdelkerim Merzougui
Ahcene Djoudi

* Corresponding author

Abstract

In this paper, the following third-order nonlinear delay differential equation with periodic coefficients

x”²”²”²(t)+p(t)x”²”²(t)+q(t)x”²(t)+r(t)x(t)=f(t,x(t),x(t-Ï„(t)))+c(t)x”²(t-Ï„(t)),

is considered. By employing Green's function and Krasnoselskii's fixed point theorem, we state and prove the existence of positive periodic solutions to the third-order delay differential equation.

How to Cite

F. Nouioua, A. Ardjouni, A. Merzougui, A. Djoudi, Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation, Int. J. Anal. Appl. 13 (2017), 136–143.

BibTeX

@article{Nouioua2017,
  author  = {Nouioua, Farid and Ardjouni, Abdelouaheb and Merzougui, Abdelkerim and Djoudi, Ahcene},
  title   = {Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation},
  journal = {Int. J. Anal. Appl.},
  volume  = {13},
  year    = {2017},
  pages   = {136--143},
  doi     = {}
}

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