Convex Solutions of an Iterative Functional Differential Equation

Lin Huang Li; Yu Zhao Hou

doi:10.2478/amsil-2025-0002

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Convex Solutions of an Iterative Functional Differential Equation

Annales Mathematicae Silesianae

Volume 40 (2026): Issue 1 (March 2026)

By: Lin Huang Li and Yu Zhao Hou

Open Access

|Mar 2025

Abstract

In this paper, by Schauder's fixed point theorem and the Banach contraction principle, we consider the existence, uniqueness, and stability of convex solutions of a nonhomogeneous iterative functional differential equation. Finally, some examples were considered by our results.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2025-0002 | Journal eISSN: 2391-4238 (formerly 0860-2107) | Journal ISSN: 0860-2107

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Language: English

Page range: 83 - 97

Submitted on: Jun 7, 2024

Accepted on: Jan 15, 2025

Published on: Mar 5, 2025

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Keywords:

iterative functional differential equation,

convex function,

fixed point

MSC:

34A12,

34C99,

34K99

Related subjects:

Mathematics,

General mathematics

© 2025 Lin Huang Li, Yu Zhao Hou, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 40 (2026): Issue 1 (March 2026)