p-拉普拉斯微分系统的旋转周期解

IF 1.3 3区数学 Q1 MATHEMATICS

Proceedings of the Royal Society of Edinburgh Section A-Mathematics Pub Date : 2023-08-30 DOI:10.1017/prm.2023.83

Tiefeng Ye, Wenbin Liu, Tengfei Shen

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引用次数: 0

摘要

本文研究了一类p-拉普拉斯微分系统旋转周期解的存在性。首先利用拓扑度构造了一个新的延拓定理，然后利用该延拓定理得到了两类p-拉普拉斯微分系统旋转周期解的存在性，推广了已有的一些相关结果。

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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Rotating periodic solutions for p-Laplacian differential systems

In this paper, we study existence of rotating periodic solutions for p-Laplacian differential systems. We first build a new continuation theorem by topological degree, and then obtain the existence of rotating periodic solutions for two kinds of p-Laplacian differential systems via this continuation theorem, extend some existing relevant results.

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来源期刊

Proceedings of the Royal Society of Edinburgh Section A-Mathematics 数学-数学

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： A flagship publication of The Royal Society of Edinburgh, Proceedings A is a prestigious, general mathematics journal publishing peer-reviewed papers of international standard across the whole spectrum of mathematics, but with the emphasis on applied analysis and differential equations. An international journal, publishing six issues per year, Proceedings A has been publishing the highest-quality mathematical research since 1884. Recent issues have included a wealth of key contributors and considered research papers.