通过混合收缩的定点求解具有非局部、积分边界条件的非线性微分夹杂系统的存在性

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-07-25 DOI:10.1186/s13661-024-01902-x

Maliha Rashid, Lariab Shahid, Fatima Dar, Irshad Ayoob, Nabil Mlaiki

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引用次数: 0

摘要

本文介绍了一对 q-ROF 集值映射的 γ 可接受性和可接受性混合 q-ROF $mathcal{Z}$ -contraction 的概念。文章引入的概念概括了模糊文献中的现有概念。文章提出了利用引入的收缩在 b-metric空间中一对 γ 可容许 q-ROF 映射的共同定点结果。我们还列举了一个非难例来支持所获得的结果。作为应用，我们讨论了具有非局部和积分边界条件的非线性 n 阶微分夹杂系统解的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence of solution of a system of non-linear differential inclusions with non-local, integral boundary conditions via fixed points of hybrid contractions

In the present article, we have introduced the notions of γ-admissibility for the pair of q-ROF set-valued maps and admissible hybrid q-ROF $\mathcal{Z}$ -contraction. Notions introduced in the article generalizes the existing concepts in fuzzy literature. Common fixed point result for a pair of γ-admissible q-ROF mappings in b-metric spaces utilizing the introduced contraction is presented. A nontrivial example to support the obtained results is also included. As an application, we have discussed the existence of solution of system of non-linear n-th order differential inclusions with non-local and integral boundary conditions.

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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.