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

Authors

AHLÈME BOUAKKAZFollow
RABAH KHEMISFollow

Author ORCID Identifier

AHLÈME BOUAKKAZ: 0000-0002-3490-6308

RABAH KHEMIS: 0000-0001-9306-9151

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.

DOI

10.55730/1300-0098.3645

Keywords

Positive periodic solutions, iterative differential equations, fixed point theorem, Green's function

First Page

192

Last Page

207

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

BOUAKKAZ, A, & KHEMIS, R (2026). Existence of positive periodic solutions for a first-order semilinear functional differential equation with an iterative source term. Turkish Journal of Mathematics 50 (2): 192-207. https://doi.org/10.55730/1300-0098.3645