具有相对论作用的奇异微分方程周期正解的存在性  

Existence of Positive Periodic Solutions for Relativistic Singular Equations

作　　者：单雪梦 梁载涛 韦慧 SHAN Xuemeng;LIANG Zaitao;WEI Hui(School of Mathematics and Big Data,Anhui University of Science and Technology,Huainan 232001,China)

机构地区：[1]安徽理工大学数学与大数据学院,安徽淮南232001

出　　处：《应用数学》2020年第4期946-954,共9页Mathematica Applicata

基　　金：国家自然科学基金(11601007,11901004);安徽省自然科学基金(1908085QA02)。

摘　　要：本文考虑一类具有相对论作用的奇异微分方程周期正解存在性问题.运用Mawhin重合度延拓定理得到周期解存在性相关结果.为了验证结果的正确性,我们给出相关的例子和数值模拟.所得结论丰富并补充已有文献的相关结论.In this paper,we consider the existence of positive periodic solutions for a class of relativistic singular equations.Based on the continuation theorem of coincidence degree theory,the correlation result of existence of periodic solutions is obtained.Finally,the example and numerical simulation are given to illustrate our theoretical analysis.The conclusion enriches and complements the existing results in related literature.

关 键 词：奇异微分方程 周期正解 重合度延拓定理 

分 类 号：O175.12[理学—数学]