New approach for the existence and uniqueness of periodic solutions to p-Laplacian prescribed mean curvature equations

被引：2

作者：

Du, Bo ^{[1
]}

Ge, Weigao ^{[2
]}

机构：

[1] Huaiyin Normal Univ, Dept Math, Huaian 223300, Jiangsu, Peoples R China

[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

关键词：

generalized Mawhin's continuation theorem; periodic solution; p-Laplacian; FUNCTIONAL-DIFFERENTIAL EQUATION; DEVIATING ARGUMENT; RAYLEIGH EQUATIONS; LIENARD EQUATION;

D O I：

10.1186/s13661-016-0689-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a generalized Mawhin continuation theorem, we obtain some sufficient conditions which guarantee the existence and uniqueness of periodic solutions for two types of prescribed mean curvature p-Laplacian equations. Using a generalized Mawhin continuation theorem, we obtain some sufficient conditions which guarantee the existence and uniqueness of periodic solutions for two types of prescribed mean curvature p-Laplacian equations.

引用

页数：16

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