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.
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页数：18
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