无限域上共振时 Hadamard 分式边界问题的可解性

IF 1.9 3区数学 Q1 MATHEMATICS Journal of Function Spaces Pub Date : 2024-01-23 DOI:10.1155/2024/5554742

Xingfang Feng, Yucheng Li

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引用次数: 0

摘要

本文研究了无限域上共振时带积分边界条件的哈达玛分式微分方程解的存在性。通过构造两个合适的巴拿赫空间、建立适当的紧凑性准则和定义适当的投影器，我们研究了马欣的重合度理论的存在性定理。举例说明我们的主要结果。

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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Solvability of a Hadamard Fractional Boundary Value Problem at Resonance on Infinite Domain

This paper investigates the existence of solutions for Hadamard fractional differential equations with integral boundary conditions at resonance on infinite domain. By constructing two suitable Banach spaces, establishing an appropriate compactness criterion, and defining appropriate projectors, we study an existence theorem upon the coincidence degree theory of Mawhin. An example is given to illustrate our main result.

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来源期刊

Journal of Function Spaces MATHEMATICS, APPLIEDMATHEMATICS -MATHEMATICS

CiteScore

4.10

自引率

10.50%

发文量

451

审稿时长

15 weeks

期刊介绍： Journal of Function Spaces (formerly titled Journal of Function Spaces and Applications) publishes papers on all aspects of function spaces, functional analysis, and their employment across other mathematical disciplines. As well as original research, Journal of Function Spaces also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.