Periodic Solutions for a Class of n-dimensional Prescribed Mean Curvature Equations

被引：0
|
作者：
Liang, Zai-tao [1 ]
Lu, Shi-ping [2 ]
机构：
[1] Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Peoples R China
[2] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2020年 / 36卷 / 02期
基金：
中国国家自然科学基金;
关键词：
periodic solutions; Mawhin's continuation theorem; prescribed mean curvature equations; NONLINEAR-SYSTEMS;
D O I：
10.1007/s10255-020-0943-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by using an extension of Mawhin's continuation theorem and some analysis methods, we study the existence of periodic solutions for the following prescribed mean curvature system ddt phi(x ')+ backward difference W(x)=p(t), where x SMALL ELEMENT OF Double-struck capital R-n, W SMALL ELEMENT OF C-1(Double-struck capital R-n, Double-struck capital R), p SMALL ELEMENT OF C(Double-struck capital R, Double-struck capital R-n) is T-periodic and phi(x)x1+|x|(2).
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页码：516 / 526
页数：11
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