Examining Nonlinear Fredholm Equations in Lebesgue Spaces with Variable Exponents

IF 2.2 3区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Symmetry-Basel Pub Date : 2023-11-02 DOI:10.3390/sym15112014

Mostafa Bachar, Mohamed A. Khamsi, Osvaldo Méndez

引用次数: 0

Abstract

We investigate the existence of solutions for the Fredholm integral equation Φ(ϑ)=G(ϑ,Φ(ϑ))+∫01F(ϑ,ζ,Φ(ζ))dζ, for ϑ∈[0,1], in the setting of the modular function spaces Lρ. We also derive an application of this research within the framework of variable exponent Lebesgue spaces Lp(·) subject to specific conditions imposed on the exponent function p(·) and the functions F and G.

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变指数Lebesgue空间中非线性Fredholm方程的检验

我们研究了在模函数空间Lρ的设置下Fredholm积分方程Φ(Φ)=G(Φ，Φ(Φ))+∫01F(Φ，ζ，Φ(ζ))dζ解的存在性，对于Φ∈[0,1]。在指数函数p(·)和函数F、G的特定条件下，在变指数Lebesgue空间Lp(·)的框架内推导了本研究的一个应用。

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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来源期刊

Symmetry-Basel MULTIDISCIPLINARY SCIENCES-

CiteScore

5.40

自引率

11.10%

发文量

2276

审稿时长

14.88 days

期刊介绍： Symmetry (ISSN 2073-8994), an international and interdisciplinary scientific journal, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided, so that results can be reproduced.