Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple Delays

被引：6

作者：

Lu, Shiping ^{[1
]}

Lu, Ming ^{[2
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

[2] Anhui Normal Univ, Dept Math, Wuhu 241000, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2014年

关键词：

POSITIVE SOLUTIONS; EXACT NUMBER; TIME MAPS; NONLINEARITY; OPERATORS; SURFACES;

D O I：

10.1155/2014/909252

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of periodic solutions for the one-dimensional prescribed mean curvature delay equation (d/dt)(x'(t)/root 1 + (x' (t))(2)) + Sigma(n)(i-1) a(i) (t) g (x(t - tau(i)(t)) = p(t). By using Mawhin's continuation theorem, a new result is ontained. Furthermore, the nonexistence of periodic solution for the equation is investigated as well.

引用

页数：7

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