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Research Article | Open Access

Existence and uniqueness of solutions for (p, q)-difference equations with integral boundary conditions

Özlem Batıt Özen1, Erbil Çetin1, Öyküm Ülke2, Aynur Şahin3( ), Fatma Serap Topal1
Department of Mathematics, Ege University, Bornova 35100, Izmir, Türkiye
National Defence University, Air NCO Vocational HE School, Gaziemir 35410, Izmir, Türkiye
Department of Mathematics, Faculty of Sciences, Sakarya University, Sakarya 54050, Türkiye
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Abstract

In this paper, we explored the existence and uniqueness of solutions for a boundary value problem involving ( p , q ) -difference equations with integral conditions. By employing well-established fixed-point theorems, we established new and significant results in this area. To further illustrate the applicability of our findings, we presented three concrete examples that demonstrate the validity of the theoretical results.

Keywords

(p, q)-difference equationsboundary value problemsintegral conditionsexistence resultsfixed point theorems

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Electronic Research Archive
Volume 33 Issue 5,
May 2025
Pages 3225-3245
DOI: 10.3934/era.2025142

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Cite this article:
Özen ÖB, Çetin E, Ülke Ö, et al. Existence and uniqueness of solutions for (p, q)-difference equations with integral boundary conditions. Electronic Research Archive, 2025, 33(5): 3225-3245. https://doi.org/10.3934/era.2025142

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Received: 12 February 2025
Revised: 15 May 2025
Accepted: 16 May 2025
Published: 15 May 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)