Ground state periodic solutions for Duffing equations with superlinear nonlinearities

被引：0

作者：

Chen, Guanwei ^{[1
]}

Wang, Jian ^{[1
]}

机构：

[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Henan, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

关键词：

second order differential equations; ground state periodic solutions; spectral gap; generalized Nehari manifold approach; 2ND-ORDER DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.1186/1687-1847-2014-139

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a general second order differential equation with superlinear nonlinearity. We obtain ground state and geometrically distinct periodic solutions of this equation by a generalized Nehari manifold approach. In particular, our result extends some existing ones.

引用

页数：18

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