具有符号变化格林函数的高阶卡普托边界值问题的正解和递减解

Pub Date : 2024-07-03 DOI:10.55730/1300-0098.3532

Rian Yan, Yige Zhao, Xuan Leng, Yabing Li

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引用次数: 0

摘要

:本文研究了区间 [0 , 1] 上阶数为 3 < ζ ≤ 4 的卡普托边界值问题。通过郭-克拉斯诺斯基（Guo-Krasnoselskii）定点定理，建立了正解和递减解的存在性和多重性的一些标准。本文的主要新颖之处在于，它能够在相应的格林函数符号发生变化时实现正解。最后，本文提供了两个例子来说明这些结果的应用。

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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Positive and decreasing solutions for higher order Caputo boundary valueproblems with sign-changing Green’s function

: In this paper, Caputo boundary value problems of order 3 < ζ ≤ 4 are investigated on the interval [0 , 1] . By Guo-Krasnoselskii fixed point theorem, some criteria of existence and multiplicity of positive and decreasing solutions are established. The main novelty of the paper lies in its capability to achieve positive solutions while the corresponding Green’s function changes sign. Finally, two examples are provided to illustrate the application of these results.

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