EXISTENCE AND NONEXISTENCE OF SOLUTIONS FOR A CLASS OF p-LAPLACIAN-TYPE FRACTIONAL FOUR-POINT BOUNDARY-VALUE PROBLEMS WITH A PARAMETER

IF 0.7 4区数学 Q2 MATHEMATICS

Rocky Mountain Journal of Mathematics Pub Date : 2023-10-01 DOI:10.1216/rmj.2023.53.1537

Xinyuan Pan, Xiaofei He, Aimin Hu

引用次数: 0

Abstract

We discuss a class of p-Laplacian-type fractional four-point boundary-value problems with a parameter. We use the Green’s function, the Schauder fixed-point theorem and the Guo–Krasnoselskii fixed-point theorem on cones. Some examples are presented to show the validity of the conditions of our main theorem.

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一类带参数的p-拉普拉斯分式四点边值问题解的存在性与不存在性

讨论了一类带参数的p- laplace型分数四点边值问题。我们在锥上使用了格林函数、Schauder不动点定理和Guo-Krasnoselskii不动点定理。给出了一些例子来证明我们的主要定理条件的有效性。

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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来源期刊

Rocky Mountain Journal of Mathematics 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

7.5 months

期刊介绍： Rocky Mountain Journal of Mathematics publishes both research and expository articles in mathematics, and particularly invites well-written survey articles. The Rocky Mountain Journal of Mathematics endeavors to publish significant research papers and substantial expository/survey papers in a broad range of theoretical and applied areas of mathematics. For this reason the editorial board is broadly based and submissions are accepted in most areas of mathematics. In addition, the journal publishes specialized conference proceedings.