通过 M.N.C 和定点定理 Petryshyn 得出非线性 q 积分方程的若干存在性结果

IF 1.7 4区数学 Q1 Mathematics Boundary Value Problems Pub Date : 2024-09-11 DOI:10.1186/s13661-024-01920-9

Hamid Reza Sahebi, Manochehr Kazemi, Mohammad Esmael Samei

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引用次数: 0

摘要

本文的重点是为某些函数 q 积分方程，尤其是巴拿赫空间中的解的存在建立充分条件。在此方法中，使用了巴拿赫空间中的非紧密性度量技术和 Petryshyn 定点定理。我们提供了一些方程实例，证实我们的结果适用于广泛的积分方程。

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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Some existence results for a nonlinear q-integral equations via M.N.C and fixed point theorem Petryshyn

The paper focuses on establishing sufficient conditions for the existence of the solutions in some functional q-integral equations, particularly in Banach spaces. In this method, the technique of measures of noncompactness and Petryshyn’s fixed point theorem in Banach space is used. We provide some examples of equations, which confirm that our result is applicable to a wide class of integral equations.

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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.