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March 17, 2026TURKISH JOURNAL OF MATHEMATICS0 citationsOpen Access

Existence of positive periodic solutions for a first-order semilinear functional differential equation with an iterative source term

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ABAhlème BouakkazRKRabah Khemis

Key Points

  • To determine the existence of positive periodic solutions for a class of first-order functional differential equations.
  • Applied Krasnoselskii fixed point theorem
  • Utilized properties of Green's function
  • Illustrated results with a practical example
  • Demonstrated the existence of positive periodic solutions
  • Complemented previous research findings
  • Provided a clear example to validate results

Abstract

In this paper, we will establish the existence of positive periodic solutions for a class of first order iterative functional differential equations by using a powerful and effective technique based on the Krasnoselskii fixed point theorem together with some useful properties of a Green's function. The obtained results that complement some previous works, are illustrated with an example.

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Cite This Study

Bouakkaz et al. (2026) studied this question.

synapsesocial.com/papers/69b8ef6ddeb47d591b8c57a7https://doi.org/10.55730/1300-0098.3645
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