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

In this paper, we explored the existence and uniqueness of solutions for a boundary value problem involving $ \left(p, q\right) $-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.

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Publication Details

Journal
Electronic Research Archive
Published
2025-01-01
DOI
https://doi.org/10.3934/era.2025142
Citations
1
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
3.73
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article

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

Erbil Çetin, Aynur Şahin, Fatma Serap Topal, Öyküm Ülke et al.
1 citations
Electronic Research Archive
Nonlinear Differential Equations Analysis
3.73
article

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

Erbil Çetin, Aynur Şahin, Fatma Serap Topal, Öyküm Ülke, Özlem Batıt Özen
article en
1 citations

Abstract

In this paper, we explored the existence and uniqueness of solutions for a boundary value problem involving $ \left(p, q\right) $-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.

Electronic Research ArchiveVol. 33(5)
Sakarya University (TR), Ege University (TR), National Defence University (PK)
Openalex Percentile: Top 10%
Nonlinear Differential Equations Analysis
3.73
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