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.
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页数：7
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